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Finding the Fourth Proportional to 100,542.93, 138,714.51 and 64,265.60

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Solution

The fourth proportional to 100,542.93, 138,714.51 and 64,265.60 is: 88,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.93 : 138,714.51 = 64,265.60 : x
  2. Step 2: Convert to fraction form
    100,542.93/138,714.51 = 64,265.60/x
  3. Step 3: Cross multiply
    100,542.93x = 138,714.51 × 64,265.60
  4. Step 4: Simplify right side
    100,542.93x = 8,914,571,213.86
  5. Step 5: Solve for x
    x = 8,914,571,213.86/100,542.93
  6. Step 6: Final answer
    x = 88,664.33

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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.