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Finding the Fourth Proportional to 82,718, 124,089.32 and 38,349.24

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Solution

The fourth proportional to 82,718, 124,089.32 and 38,349.24 is: 57,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718 : 124,089.32 = 38,349.24 : x
  2. Step 2: Convert to fraction form
    82,718/124,089.32 = 38,349.24/x
  3. Step 3: Cross multiply
    82,718x = 124,089.32 × 38,349.24
  4. Step 4: Simplify right side
    82,718x = 4,758,731,114.12
  5. Step 5: Solve for x
    x = 4,758,731,114.12/82,718
  6. Step 6: Final answer
    x = 57,529.57

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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.