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Finding the Fourth Proportional to 100,294.92, 138,402.72 and 59,984.88

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Solution

The fourth proportional to 100,294.92, 138,402.72 and 59,984.88 is: 82,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.92 : 138,402.72 = 59,984.88 : x
  2. Step 2: Convert to fraction form
    100,294.92/138,402.72 = 59,984.88/x
  3. Step 3: Cross multiply
    100,294.92x = 138,402.72 × 59,984.88
  4. Step 4: Simplify right side
    100,294.92x = 8,302,070,550.87
  5. Step 5: Solve for x
    x = 8,302,070,550.87/100,294.92
  6. Step 6: Final answer
    x = 82,776.58

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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.