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Finding the Fourth Proportional to 131,882.68, 181,987.33 and 77,429.11

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Solution

The fourth proportional to 131,882.68, 181,987.33 and 77,429.11 is: 106,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,882.68 : 181,987.33 = 77,429.11 : x
  2. Step 2: Convert to fraction form
    131,882.68/181,987.33 = 77,429.11/x
  3. Step 3: Cross multiply
    131,882.68x = 181,987.33 × 77,429.11
  4. Step 4: Simplify right side
    131,882.68x = 14,091,116,993.18
  5. Step 5: Solve for x
    x = 14,091,116,993.18/131,882.68
  6. Step 6: Final answer
    x = 106,845.85

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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.