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Finding the Fourth Proportional to 77,531.88, 116,020.74 and 60,776.70

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Solution

The fourth proportional to 77,531.88, 116,020.74 and 60,776.70 is: 90,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,531.88 : 116,020.74 = 60,776.70 : x
  2. Step 2: Convert to fraction form
    77,531.88/116,020.74 = 60,776.70/x
  3. Step 3: Cross multiply
    77,531.88x = 116,020.74 × 60,776.70
  4. Step 4: Simplify right side
    77,531.88x = 7,051,357,708.76
  5. Step 5: Solve for x
    x = 7,051,357,708.76/77,531.88
  6. Step 6: Final answer
    x = 90,947.85

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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.