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Finding the Fourth Proportional to 138,965.82, 208,727.66 and 82,915.30

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Solution

The fourth proportional to 138,965.82, 208,727.66 and 82,915.30 is: 124,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,965.82 : 208,727.66 = 82,915.30 : x
  2. Step 2: Convert to fraction form
    138,965.82/208,727.66 = 82,915.30/x
  3. Step 3: Cross multiply
    138,965.82x = 208,727.66 × 82,915.30
  4. Step 4: Simplify right side
    138,965.82x = 17,306,716,547.20
  5. Step 5: Solve for x
    x = 17,306,716,547.20/138,965.82
  6. Step 6: Final answer
    x = 124,539.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.