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Finding the Fourth Proportional to 100,177.92, 138,237.30 and 57,739.32

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Solution

The fourth proportional to 100,177.92, 138,237.30 and 57,739.32 is: 79,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177.92 : 138,237.30 = 57,739.32 : x
  2. Step 2: Convert to fraction form
    100,177.92/138,237.30 = 57,739.32/x
  3. Step 3: Cross multiply
    100,177.92x = 138,237.30 × 57,739.32
  4. Step 4: Simplify right side
    100,177.92x = 7,981,727,700.64
  5. Step 5: Solve for x
    x = 7,981,727,700.64/100,177.92
  6. Step 6: Final answer
    x = 79,675.52

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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.