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Finding the Fourth Proportional to 81,966.60, 122,949.90 and 45,102.60

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Solution

The fourth proportional to 81,966.60, 122,949.90 and 45,102.60 is: 67,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.60 : 122,949.90 = 45,102.60 : x
  2. Step 2: Convert to fraction form
    81,966.60/122,949.90 = 45,102.60/x
  3. Step 3: Cross multiply
    81,966.60x = 122,949.90 × 45,102.60
  4. Step 4: Simplify right side
    81,966.60x = 5,545,360,159.74
  5. Step 5: Solve for x
    x = 5,545,360,159.74/81,966.60
  6. Step 6: Final answer
    x = 67,653.90

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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.