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Finding the Fourth Proportional to 86,430.50, 129,645.76 and 20,766.50

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Solution

The fourth proportional to 86,430.50, 129,645.76 and 20,766.50 is: 31,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430.50 : 129,645.76 = 20,766.50 : x
  2. Step 2: Convert to fraction form
    86,430.50/129,645.76 = 20,766.50/x
  3. Step 3: Cross multiply
    86,430.50x = 129,645.76 × 20,766.50
  4. Step 4: Simplify right side
    86,430.50x = 2,692,288,675.04
  5. Step 5: Solve for x
    x = 2,692,288,675.04/86,430.50
  6. Step 6: Final answer
    x = 31,149.75

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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.