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Finding the Fourth Proportional to 105,891.12, 158,836.74 and 66,475.91

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Solution

The fourth proportional to 105,891.12, 158,836.74 and 66,475.91 is: 99,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.12 : 158,836.74 = 66,475.91 : x
  2. Step 2: Convert to fraction form
    105,891.12/158,836.74 = 66,475.91/x
  3. Step 3: Cross multiply
    105,891.12x = 158,836.74 × 66,475.91
  4. Step 4: Simplify right side
    105,891.12x = 10,558,816,980.74
  5. Step 5: Solve for x
    x = 10,558,816,980.74/105,891.12
  6. Step 6: Final answer
    x = 99,713.90

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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.