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Finding the Fourth Proportional to 100,966.30, 151,449.45 and 81,283.30

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Solution

The fourth proportional to 100,966.30, 151,449.45 and 81,283.30 is: 121,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.30 : 151,449.45 = 81,283.30 : x
  2. Step 2: Convert to fraction form
    100,966.30/151,449.45 = 81,283.30/x
  3. Step 3: Cross multiply
    100,966.30x = 151,449.45 × 81,283.30
  4. Step 4: Simplify right side
    100,966.30x = 12,310,311,079.19
  5. Step 5: Solve for x
    x = 12,310,311,079.19/100,966.30
  6. Step 6: Final answer
    x = 121,924.95

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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.