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Finding the Fourth Proportional to 51,597, 77,399.15 and 20,432.25

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Solution

The fourth proportional to 51,597, 77,399.15 and 20,432.25 is: 30,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597 : 77,399.15 = 20,432.25 : x
  2. Step 2: Convert to fraction form
    51,597/77,399.15 = 20,432.25/x
  3. Step 3: Cross multiply
    51,597x = 77,399.15 × 20,432.25
  4. Step 4: Simplify right side
    51,597x = 1,581,438,680.43
  5. Step 5: Solve for x
    x = 1,581,438,680.43/51,597
  6. Step 6: Final answer
    x = 30,649.82

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