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Finding the Fourth Proportional to 71,117.90, 106,642.98 and 21,180.49

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Solution

The fourth proportional to 71,117.90, 106,642.98 and 21,180.49 is: 31,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117.90 : 106,642.98 = 21,180.49 : x
  2. Step 2: Convert to fraction form
    71,117.90/106,642.98 = 21,180.49/x
  3. Step 3: Cross multiply
    71,117.90x = 106,642.98 × 21,180.49
  4. Step 4: Simplify right side
    71,117.90x = 2,258,750,304.85
  5. Step 5: Solve for x
    x = 2,258,750,304.85/71,117.90
  6. Step 6: Final answer
    x = 31,760.64

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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.