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Finding the Fourth Proportional to 83,407.79, 115,102.80 and 45,167.64

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Solution

The fourth proportional to 83,407.79, 115,102.80 and 45,167.64 is: 62,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.79 : 115,102.80 = 45,167.64 : x
  2. Step 2: Convert to fraction form
    83,407.79/115,102.80 = 45,167.64/x
  3. Step 3: Cross multiply
    83,407.79x = 115,102.80 × 45,167.64
  4. Step 4: Simplify right side
    83,407.79x = 5,198,921,833.39
  5. Step 5: Solve for x
    x = 5,198,921,833.39/83,407.79
  6. Step 6: Final answer
    x = 62,331.37

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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.