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Finding the Fourth Proportional to 83,682.28, 115,448.13 and 53,459.74

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Solution

The fourth proportional to 83,682.28, 115,448.13 and 53,459.74 is: 73,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682.28 : 115,448.13 = 53,459.74 : x
  2. Step 2: Convert to fraction form
    83,682.28/115,448.13 = 53,459.74/x
  3. Step 3: Cross multiply
    83,682.28x = 115,448.13 × 53,459.74
  4. Step 4: Simplify right side
    83,682.28x = 6,171,827,013.29
  5. Step 5: Solve for x
    x = 6,171,827,013.29/83,682.28
  6. Step 6: Final answer
    x = 73,753.09

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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.