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Finding the Fourth Proportional to 131,098.56, 180,939.24 and 77,380.08

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Solution

The fourth proportional to 131,098.56, 180,939.24 and 77,380.08 is: 106,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,098.56 : 180,939.24 = 77,380.08 : x
  2. Step 2: Convert to fraction form
    131,098.56/180,939.24 = 77,380.08/x
  3. Step 3: Cross multiply
    131,098.56x = 180,939.24 × 77,380.08
  4. Step 4: Simplify right side
    131,098.56x = 14,001,092,866.34
  5. Step 5: Solve for x
    x = 14,001,092,866.34/131,098.56
  6. Step 6: Final answer
    x = 106,798.22

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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.