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Finding the Fourth Proportional to 87,648.84, 120,980.16 and 51,851.28

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Solution

The fourth proportional to 87,648.84, 120,980.16 and 51,851.28 is: 71,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,648.84 : 120,980.16 = 51,851.28 : x
  2. Step 2: Convert to fraction form
    87,648.84/120,980.16 = 51,851.28/x
  3. Step 3: Cross multiply
    87,648.84x = 120,980.16 × 51,851.28
  4. Step 4: Simplify right side
    87,648.84x = 6,272,976,150.60
  5. Step 5: Solve for x
    x = 6,272,976,150.60/87,648.84
  6. Step 6: Final answer
    x = 71,569.41

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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.