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Finding the Fourth Proportional to 83,597, 125,402.80 and 21,267.50

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Solution

The fourth proportional to 83,597, 125,402.80 and 21,267.50 is: 31,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597 : 125,402.80 = 21,267.50 : x
  2. Step 2: Convert to fraction form
    83,597/125,402.80 = 21,267.50/x
  3. Step 3: Cross multiply
    83,597x = 125,402.80 × 21,267.50
  4. Step 4: Simplify right side
    83,597x = 2,667,004,049
  5. Step 5: Solve for x
    x = 2,667,004,049/83,597
  6. Step 6: Final answer
    x = 31,903.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.