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Finding the Fourth Proportional to 230,489.14, 345,653.72 and 80,726.10

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Solution

The fourth proportional to 230,489.14, 345,653.72 and 80,726.10 is: 121,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,489.14 : 345,653.72 = 80,726.10 : x
  2. Step 2: Convert to fraction form
    230,489.14/345,653.72 = 80,726.10/x
  3. Step 3: Cross multiply
    230,489.14x = 345,653.72 × 80,726.10
  4. Step 4: Simplify right side
    230,489.14x = 27,903,276,766.09
  5. Step 5: Solve for x
    x = 27,903,276,766.09/230,489.14
  6. Step 6: Final answer
    x = 121,061.13

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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.