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Finding the Fourth Proportional to 120,876.39, 181,252.01 and 54,259.16

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Solution

The fourth proportional to 120,876.39, 181,252.01 and 54,259.16 is: 81,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,876.39 : 181,252.01 = 54,259.16 : x
  2. Step 2: Convert to fraction form
    120,876.39/181,252.01 = 54,259.16/x
  3. Step 3: Cross multiply
    120,876.39x = 181,252.01 × 54,259.16
  4. Step 4: Simplify right side
    120,876.39x = 9,834,581,040.30
  5. Step 5: Solve for x
    x = 9,834,581,040.30/120,876.39
  6. Step 6: Final answer
    x = 81,360.64

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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.