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Finding the Fourth Proportional to 82,505.66, 123,738.65 and 38,089.74

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Solution

The fourth proportional to 82,505.66, 123,738.65 and 38,089.74 is: 57,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.66 : 123,738.65 = 38,089.74 : x
  2. Step 2: Convert to fraction form
    82,505.66/123,738.65 = 38,089.74/x
  3. Step 3: Cross multiply
    82,505.66x = 123,738.65 × 38,089.74
  4. Step 4: Simplify right side
    82,505.66x = 4,713,173,637.11
  5. Step 5: Solve for x
    x = 4,713,173,637.11/82,505.66
  6. Step 6: Final answer
    x = 57,125.46

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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.