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Finding the Fourth Proportional to 342,078.26, 513,147.45 and 89,356.74

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Solution

The fourth proportional to 342,078.26, 513,147.45 and 89,356.74 is: 134,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,078.26 : 513,147.45 = 89,356.74 : x
  2. Step 2: Convert to fraction form
    342,078.26/513,147.45 = 89,356.74/x
  3. Step 3: Cross multiply
    342,078.26x = 513,147.45 × 89,356.74
  4. Step 4: Simplify right side
    342,078.26x = 45,853,181,682.10
  5. Step 5: Solve for x
    x = 45,853,181,682.10/342,078.26
  6. Step 6: Final answer
    x = 134,042.96

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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.