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Finding the Fourth Proportional to 100,151, 138,217.02 and 55,447.64

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Solution

The fourth proportional to 100,151, 138,217.02 and 55,447.64 is: 76,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,151 : 138,217.02 = 55,447.64 : x
  2. Step 2: Convert to fraction form
    100,151/138,217.02 = 55,447.64/x
  3. Step 3: Cross multiply
    100,151x = 138,217.02 × 55,447.64
  4. Step 4: Simplify right side
    100,151x = 7,663,807,566.83
  5. Step 5: Solve for x
    x = 7,663,807,566.83/100,151
  6. Step 6: Final answer
    x = 76,522.53

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1.5x scale

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.