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Finding the Fourth Proportional to 100,159.52, 138,226.79 and 57,720.78

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Solution

The fourth proportional to 100,159.52, 138,226.79 and 57,720.78 is: 79,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.52 : 138,226.79 = 57,720.78 : x
  2. Step 2: Convert to fraction form
    100,159.52/138,226.79 = 57,720.78/x
  3. Step 3: Cross multiply
    100,159.52x = 138,226.79 × 57,720.78
  4. Step 4: Simplify right side
    100,159.52x = 7,978,558,280.00
  5. Step 5: Solve for x
    x = 7,978,558,280.00/100,159.52
  6. Step 6: Final answer
    x = 79,658.52

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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.