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Finding the Fourth Proportional to 77,351.56, 106,545.50 and 54,651.16

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Solution

The fourth proportional to 77,351.56, 106,545.50 and 54,651.16 is: 75,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,351.56 : 106,545.50 = 54,651.16 : x
  2. Step 2: Convert to fraction form
    77,351.56/106,545.50 = 54,651.16/x
  3. Step 3: Cross multiply
    77,351.56x = 106,545.50 × 54,651.16
  4. Step 4: Simplify right side
    77,351.56x = 5,822,835,167.78
  5. Step 5: Solve for x
    x = 5,822,835,167.78/77,351.56
  6. Step 6: Final answer
    x = 75,277.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.