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Finding the Fourth Proportional to 71,077.90, 106,616.33 and 28,948.08

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Solution

The fourth proportional to 71,077.90, 106,616.33 and 28,948.08 is: 43,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.90 : 106,616.33 = 28,948.08 : x
  2. Step 2: Convert to fraction form
    71,077.90/106,616.33 = 28,948.08/x
  3. Step 3: Cross multiply
    71,077.90x = 106,616.33 × 28,948.08
  4. Step 4: Simplify right side
    71,077.90x = 3,086,337,905.41
  5. Step 5: Solve for x
    x = 3,086,337,905.41/71,077.90
  6. Step 6: Final answer
    x = 43,421.91

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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.