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Finding the Fourth Proportional to 100,140, 138,224 and 57,726.88

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Solution

The fourth proportional to 100,140, 138,224 and 57,726.88 is: 79,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140 : 138,224 = 57,726.88 : x
  2. Step 2: Convert to fraction form
    100,140/138,224 = 57,726.88/x
  3. Step 3: Cross multiply
    100,140x = 138,224 × 57,726.88
  4. Step 4: Simplify right side
    100,140x = 7,979,240,261.12
  5. Step 5: Solve for x
    x = 7,979,240,261.12/100,140
  6. Step 6: Final answer
    x = 79,680.85

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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.