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Finding the Fourth Proportional to 131,694, 181,738.82 and 77,278.71

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Solution

The fourth proportional to 131,694, 181,738.82 and 77,278.71 is: 106,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,694 : 181,738.82 = 77,278.71 : x
  2. Step 2: Convert to fraction form
    131,694/181,738.82 = 77,278.71/x
  3. Step 3: Cross multiply
    131,694x = 181,738.82 × 77,278.71
  4. Step 4: Simplify right side
    131,694x = 14,044,541,566.52
  5. Step 5: Solve for x
    x = 14,044,541,566.52/131,694
  6. Step 6: Final answer
    x = 106,645.27

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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.