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Finding the Fourth Proportional to 218,681,863.88, 301,787,270.71 and 120,903,018.44

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Solution

The fourth proportional to 218,681,863.88, 301,787,270.71 and 120,903,018.44 is: 166,849,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,681,863.88 : 301,787,270.71 = 120,903,018.44 : x
  2. Step 2: Convert to fraction form
    218,681,863.88/301,787,270.71 = 120,903,018.44/x
  3. Step 3: Cross multiply
    218,681,863.88x = 301,787,270.71 × 120,903,018.44
  4. Step 4: Simplify right side
    218,681,863.88x = 36,486,991,953,797,208
  5. Step 5: Solve for x
    x = 36,486,991,953,797,208/218,681,863.88
  6. Step 6: Final answer
    x = 166,849,647.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.