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Finding the Fourth Proportional to 131,882.98, 181,987.73 and 77,429.41

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Solution

The fourth proportional to 131,882.98, 181,987.73 and 77,429.41 is: 106,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,882.98 : 181,987.73 = 77,429.41 : x
  2. Step 2: Convert to fraction form
    131,882.98/181,987.73 = 77,429.41/x
  3. Step 3: Cross multiply
    131,882.98x = 181,987.73 × 77,429.41
  4. Step 4: Simplify right side
    131,882.98x = 14,091,202,561.14
  5. Step 5: Solve for x
    x = 14,091,202,561.14/131,882.98
  6. Step 6: Final answer
    x = 106,846.26

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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.