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Finding the Fourth Proportional to 230,470.25, 345,686.87 and 78,654.34

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Solution

The fourth proportional to 230,470.25, 345,686.87 and 78,654.34 is: 117,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,470.25 : 345,686.87 = 78,654.34 : x
  2. Step 2: Convert to fraction form
    230,470.25/345,686.87 = 78,654.34/x
  3. Step 3: Cross multiply
    230,470.25x = 345,686.87 × 78,654.34
  4. Step 4: Simplify right side
    230,470.25x = 27,189,773,235.26
  5. Step 5: Solve for x
    x = 27,189,773,235.26/230,470.25
  6. Step 6: Final answer
    x = 117,975.20

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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.