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Finding the Fourth Proportional to 120,832.40, 181,248.60 and 101,149.40

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Solution

The fourth proportional to 120,832.40, 181,248.60 and 101,149.40 is: 151,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832.40 : 181,248.60 = 101,149.40 : x
  2. Step 2: Convert to fraction form
    120,832.40/181,248.60 = 101,149.40/x
  3. Step 3: Cross multiply
    120,832.40x = 181,248.60 × 101,149.40
  4. Step 4: Simplify right side
    120,832.40x = 18,333,187,140.84
  5. Step 5: Solve for x
    x = 18,333,187,140.84/120,832.40
  6. Step 6: Final answer
    x = 151,724.10

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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.