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Finding the Fourth Proportional to 218,320.48, 301,257.84 and 122,860

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Solution

The fourth proportional to 218,320.48, 301,257.84 and 122,860 is: 169,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,320.48 : 301,257.84 = 122,860 : x
  2. Step 2: Convert to fraction form
    218,320.48/301,257.84 = 122,860/x
  3. Step 3: Cross multiply
    218,320.48x = 301,257.84 × 122,860
  4. Step 4: Simplify right side
    218,320.48x = 37,012,538,222.40
  5. Step 5: Solve for x
    x = 37,012,538,222.40/218,320.48
  6. Step 6: Final answer
    x = 169,533.06

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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.