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Finding the Fourth Proportional to 120,463.61, 180,545.48 and 77,656.16

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Solution

The fourth proportional to 120,463.61, 180,545.48 and 77,656.16 is: 116,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463.61 : 180,545.48 = 77,656.16 : x
  2. Step 2: Convert to fraction form
    120,463.61/180,545.48 = 77,656.16/x
  3. Step 3: Cross multiply
    120,463.61x = 180,545.48 × 77,656.16
  4. Step 4: Simplify right side
    120,463.61x = 14,020,469,036.45
  5. Step 5: Solve for x
    x = 14,020,469,036.45/120,463.61
  6. Step 6: Final answer
    x = 116,387.59

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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.