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Finding the Fourth Proportional to 77,101.98, 115,560.42 and 39,679.71

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Solution

The fourth proportional to 77,101.98, 115,560.42 and 39,679.71 is: 59,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.98 : 115,560.42 = 39,679.71 : x
  2. Step 2: Convert to fraction form
    77,101.98/115,560.42 = 39,679.71/x
  3. Step 3: Cross multiply
    77,101.98x = 115,560.42 × 39,679.71
  4. Step 4: Simplify right side
    77,101.98x = 4,585,403,953.08
  5. Step 5: Solve for x
    x = 4,585,403,953.08/77,101.98
  6. Step 6: Final answer
    x = 59,471.94

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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.