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Finding the Fourth Proportional to 100,689.76, 138,899.52 and 60,384.16

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Solution

The fourth proportional to 100,689.76, 138,899.52 and 60,384.16 is: 83,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.76 : 138,899.52 = 60,384.16 : x
  2. Step 2: Convert to fraction form
    100,689.76/138,899.52 = 60,384.16/x
  3. Step 3: Cross multiply
    100,689.76x = 138,899.52 × 60,384.16
  4. Step 4: Simplify right side
    100,689.76x = 8,387,330,839.60
  5. Step 5: Solve for x
    x = 8,387,330,839.60/100,689.76
  6. Step 6: Final answer
    x = 83,298.75

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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.