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Finding the Fourth Proportional to 83,407.68, 115,098.84 and 45,681.12

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Solution

The fourth proportional to 83,407.68, 115,098.84 and 45,681.12 is: 63,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.68 : 115,098.84 = 45,681.12 : x
  2. Step 2: Convert to fraction form
    83,407.68/115,098.84 = 45,681.12/x
  3. Step 3: Cross multiply
    83,407.68x = 115,098.84 × 45,681.12
  4. Step 4: Simplify right side
    83,407.68x = 5,257,843,921.90
  5. Step 5: Solve for x
    x = 5,257,843,921.90/83,407.68
  6. Step 6: Final answer
    x = 63,037.89

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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.