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Finding the Fourth Proportional to 83,461, 125,191.66 and 20,281.18

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Solution

The fourth proportional to 83,461, 125,191.66 and 20,281.18 is: 30,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461 : 125,191.66 = 20,281.18 : x
  2. Step 2: Convert to fraction form
    83,461/125,191.66 = 20,281.18/x
  3. Step 3: Cross multiply
    83,461x = 125,191.66 × 20,281.18
  4. Step 4: Simplify right side
    83,461x = 2,539,034,590.96
  5. Step 5: Solve for x
    x = 2,539,034,590.96/83,461
  6. Step 6: Final answer
    x = 30,421.81

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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.