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Finding the Fourth Proportional to 265,645.80, 398,565.90 and 107,890.20

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Solution

The fourth proportional to 265,645.80, 398,565.90 and 107,890.20 is: 161,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,645.80 : 398,565.90 = 107,890.20 : x
  2. Step 2: Convert to fraction form
    265,645.80/398,565.90 = 107,890.20/x
  3. Step 3: Cross multiply
    265,645.80x = 398,565.90 × 107,890.20
  4. Step 4: Simplify right side
    265,645.80x = 43,001,354,664.18
  5. Step 5: Solve for x
    x = 43,001,354,664.18/265,645.80
  6. Step 6: Final answer
    x = 161,874.78

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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.