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Finding the Fourth Proportional to 100,931.40, 139,253.81 and 60,654.15

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Solution

The fourth proportional to 100,931.40, 139,253.81 and 60,654.15 is: 83,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,931.40 : 139,253.81 = 60,654.15 : x
  2. Step 2: Convert to fraction form
    100,931.40/139,253.81 = 60,654.15/x
  3. Step 3: Cross multiply
    100,931.40x = 139,253.81 × 60,654.15
  4. Step 4: Simplify right side
    100,931.40x = 8,446,321,176.54
  5. Step 5: Solve for x
    x = 8,446,321,176.54/100,931.40
  6. Step 6: Final answer
    x = 83,683.78

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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.