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Finding the Fourth Proportional to 120,877.14, 181,253.15 and 54,259.91

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Solution

The fourth proportional to 120,877.14, 181,253.15 and 54,259.91 is: 81,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,877.14 : 181,253.15 = 54,259.91 : x
  2. Step 2: Convert to fraction form
    120,877.14/181,253.15 = 54,259.91/x
  3. Step 3: Cross multiply
    120,877.14x = 181,253.15 × 54,259.91
  4. Step 4: Simplify right side
    120,877.14x = 9,834,778,428.65
  5. Step 5: Solve for x
    x = 9,834,778,428.65/120,877.14
  6. Step 6: Final answer
    x = 81,361.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.