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Finding the Fourth Proportional to 77,445.18, 115,874.31 and 45,872.18

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Solution

The fourth proportional to 77,445.18, 115,874.31 and 45,872.18 is: 68,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,445.18 : 115,874.31 = 45,872.18 : x
  2. Step 2: Convert to fraction form
    77,445.18/115,874.31 = 45,872.18/x
  3. Step 3: Cross multiply
    77,445.18x = 115,874.31 × 45,872.18
  4. Step 4: Simplify right side
    77,445.18x = 5,315,407,205.70
  5. Step 5: Solve for x
    x = 5,315,407,205.70/77,445.18
  6. Step 6: Final answer
    x = 68,634.45

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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.