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Finding the Fourth Proportional to 78,772.64, 108,712.68 and 44,791.78

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Solution

The fourth proportional to 78,772.64, 108,712.68 and 44,791.78 is: 61,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.64 : 108,712.68 = 44,791.78 : x
  2. Step 2: Convert to fraction form
    78,772.64/108,712.68 = 44,791.78/x
  3. Step 3: Cross multiply
    78,772.64x = 108,712.68 × 44,791.78
  4. Step 4: Simplify right side
    78,772.64x = 4,869,434,445.77
  5. Step 5: Solve for x
    x = 4,869,434,445.77/78,772.64
  6. Step 6: Final answer
    x = 61,816.32

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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.