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Finding the Fourth Proportional to 83,412.68, 115,098.98 and 66,459.88

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Solution

The fourth proportional to 83,412.68, 115,098.98 and 66,459.88 is: 91,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412.68 : 115,098.98 = 66,459.88 : x
  2. Step 2: Convert to fraction form
    83,412.68/115,098.98 = 66,459.88/x
  3. Step 3: Cross multiply
    83,412.68x = 115,098.98 × 66,459.88
  4. Step 4: Simplify right side
    83,412.68x = 7,649,464,398.92
  5. Step 5: Solve for x
    x = 7,649,464,398.92/83,412.68
  6. Step 6: Final answer
    x = 91,706.25

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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.