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Finding the Fourth Proportional to 83,763.90, 125,631.45 and 31,146.30

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Solution

The fourth proportional to 83,763.90, 125,631.45 and 31,146.30 is: 46,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,763.90 : 125,631.45 = 31,146.30 : x
  2. Step 2: Convert to fraction form
    83,763.90/125,631.45 = 31,146.30/x
  3. Step 3: Cross multiply
    83,763.90x = 125,631.45 × 31,146.30
  4. Step 4: Simplify right side
    83,763.90x = 3,912,954,831.14
  5. Step 5: Solve for x
    x = 3,912,954,831.14/83,763.90
  6. Step 6: Final answer
    x = 46,714.10

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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.