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Finding the Fourth Proportional to 77,792.78, 107,360.16 and 71,761.52

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Solution

The fourth proportional to 77,792.78, 107,360.16 and 71,761.52 is: 99,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792.78 : 107,360.16 = 71,761.52 : x
  2. Step 2: Convert to fraction form
    77,792.78/107,360.16 = 71,761.52/x
  3. Step 3: Cross multiply
    77,792.78x = 107,360.16 × 71,761.52
  4. Step 4: Simplify right side
    77,792.78x = 7,704,328,269.04
  5. Step 5: Solve for x
    x = 7,704,328,269.04/77,792.78
  6. Step 6: Final answer
    x = 99,036.55

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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.