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Finding the Fourth Proportional to 100,919, 139,272.54 and 56,207

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Solution

The fourth proportional to 100,919, 139,272.54 and 56,207 is: 77,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,919 : 139,272.54 = 56,207 : x
  2. Step 2: Convert to fraction form
    100,919/139,272.54 = 56,207/x
  3. Step 3: Cross multiply
    100,919x = 139,272.54 × 56,207
  4. Step 4: Simplify right side
    100,919x = 7,828,091,655.78
  5. Step 5: Solve for x
    x = 7,828,091,655.78/100,919
  6. Step 6: Final answer
    x = 77,568.07

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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.