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Finding the Fourth Proportional to 100,502.46, 138,695.22 and 55,184.72

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Solution

The fourth proportional to 100,502.46, 138,695.22 and 55,184.72 is: 76,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,502.46 : 138,695.22 = 55,184.72 : x
  2. Step 2: Convert to fraction form
    100,502.46/138,695.22 = 55,184.72/x
  3. Step 3: Cross multiply
    100,502.46x = 138,695.22 × 55,184.72
  4. Step 4: Simplify right side
    100,502.46x = 7,653,856,187.56
  5. Step 5: Solve for x
    x = 7,653,856,187.56/100,502.46
  6. Step 6: Final answer
    x = 76,155.91

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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.