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Finding the Fourth Proportional to 77,445.90, 115,909.65 and 54,117.90

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Solution

The fourth proportional to 77,445.90, 115,909.65 and 54,117.90 is: 80,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,445.90 : 115,909.65 = 54,117.90 : x
  2. Step 2: Convert to fraction form
    77,445.90/115,909.65 = 54,117.90/x
  3. Step 3: Cross multiply
    77,445.90x = 115,909.65 × 54,117.90
  4. Step 4: Simplify right side
    77,445.90x = 6,272,786,847.74
  5. Step 5: Solve for x
    x = 6,272,786,847.74/77,445.90
  6. Step 6: Final answer
    x = 80,995.73

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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.