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Finding the Fourth Proportional to 100,197.89, 138,366.75 and 64,449.96

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Solution

The fourth proportional to 100,197.89, 138,366.75 and 64,449.96 is: 89,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.89 : 138,366.75 = 64,449.96 : x
  2. Step 2: Convert to fraction form
    100,197.89/138,366.75 = 64,449.96/x
  3. Step 3: Cross multiply
    100,197.89x = 138,366.75 × 64,449.96
  4. Step 4: Simplify right side
    100,197.89x = 8,917,731,502.83
  5. Step 5: Solve for x
    x = 8,917,731,502.83/100,197.89
  6. Step 6: Final answer
    x = 89,001.19

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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.