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Finding the Fourth Proportional to 87,649, 120,980.43 and 51,851.45

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Solution

The fourth proportional to 87,649, 120,980.43 and 51,851.45 is: 71,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,649 : 120,980.43 = 51,851.45 : x
  2. Step 2: Convert to fraction form
    87,649/120,980.43 = 51,851.45/x
  3. Step 3: Cross multiply
    87,649x = 120,980.43 × 51,851.45
  4. Step 4: Simplify right side
    87,649x = 6,273,010,717.12
  5. Step 5: Solve for x
    x = 6,273,010,717.12/87,649
  6. Step 6: Final answer
    x = 71,569.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.