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Finding the Fourth Proportional to 262,565.90, 393,958.20 and 85,127.30

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Solution

The fourth proportional to 262,565.90, 393,958.20 and 85,127.30 is: 127,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,565.90 : 393,958.20 = 85,127.30 : x
  2. Step 2: Convert to fraction form
    262,565.90/393,958.20 = 85,127.30/x
  3. Step 3: Cross multiply
    262,565.90x = 393,958.20 × 85,127.30
  4. Step 4: Simplify right side
    262,565.90x = 33,536,597,878.86
  5. Step 5: Solve for x
    x = 33,536,597,878.86/262,565.90
  6. Step 6: Final answer
    x = 127,726.40

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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.