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Finding the Fourth Proportional to 230,411.55, 345,772.98 and 80,653.08

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Solution

The fourth proportional to 230,411.55, 345,772.98 and 80,653.08 is: 121,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,411.55 : 345,772.98 = 80,653.08 : x
  2. Step 2: Convert to fraction form
    230,411.55/345,772.98 = 80,653.08/x
  3. Step 3: Cross multiply
    230,411.55x = 345,772.98 × 80,653.08
  4. Step 4: Simplify right side
    230,411.55x = 27,887,655,817.78
  5. Step 5: Solve for x
    x = 27,887,655,817.78/230,411.55
  6. Step 6: Final answer
    x = 121,034.11

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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.