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Finding the Fourth Proportional to 138,962.97, 191,763.75 and 75,299.40

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Solution

The fourth proportional to 138,962.97, 191,763.75 and 75,299.40 is: 103,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962.97 : 191,763.75 = 75,299.40 : x
  2. Step 2: Convert to fraction form
    138,962.97/191,763.75 = 75,299.40/x
  3. Step 3: Cross multiply
    138,962.97x = 191,763.75 × 75,299.40
  4. Step 4: Simplify right side
    138,962.97x = 14,439,695,316.75
  5. Step 5: Solve for x
    x = 14,439,695,316.75/138,962.97
  6. Step 6: Final answer
    x = 103,910.38

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1.5x scale

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.