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Finding the Fourth Proportional to 131,357, 181,272.66 and 71,741

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Solution

The fourth proportional to 131,357, 181,272.66 and 71,741 is: 99,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,357 : 181,272.66 = 71,741 : x
  2. Step 2: Convert to fraction form
    131,357/181,272.66 = 71,741/x
  3. Step 3: Cross multiply
    131,357x = 181,272.66 × 71,741
  4. Step 4: Simplify right side
    131,357x = 13,004,681,901.06
  5. Step 5: Solve for x
    x = 13,004,681,901.06/131,357
  6. Step 6: Final answer
    x = 99,002.58

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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.