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Finding the Fourth Proportional to 120,854.88, 181,220.04 and 54,237.87

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Solution

The fourth proportional to 120,854.88, 181,220.04 and 54,237.87 is: 81,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854.88 : 181,220.04 = 54,237.87 : x
  2. Step 2: Convert to fraction form
    120,854.88/181,220.04 = 54,237.87/x
  3. Step 3: Cross multiply
    120,854.88x = 181,220.04 × 54,237.87
  4. Step 4: Simplify right side
    120,854.88x = 9,828,988,970.91
  5. Step 5: Solve for x
    x = 9,828,988,970.91/120,854.88
  6. Step 6: Final answer
    x = 81,328.85

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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.