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Finding the Fourth Proportional to 100,470.72, 138,646.88 and 55,148.64

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Solution

The fourth proportional to 100,470.72, 138,646.88 and 55,148.64 is: 76,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.72 : 138,646.88 = 55,148.64 : x
  2. Step 2: Convert to fraction form
    100,470.72/138,646.88 = 55,148.64/x
  3. Step 3: Cross multiply
    100,470.72x = 138,646.88 × 55,148.64
  4. Step 4: Simplify right side
    100,470.72x = 7,646,186,872.24
  5. Step 5: Solve for x
    x = 7,646,186,872.24/100,470.72
  6. Step 6: Final answer
    x = 76,103.63

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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.