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Finding the Fourth Proportional to 52,157.22, 71,976.60 and 28,283.87

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Solution

The fourth proportional to 52,157.22, 71,976.60 and 28,283.87 is: 39,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.22 : 71,976.60 = 28,283.87 : x
  2. Step 2: Convert to fraction form
    52,157.22/71,976.60 = 28,283.87/x
  3. Step 3: Cross multiply
    52,157.22x = 71,976.60 × 28,283.87
  4. Step 4: Simplify right side
    52,157.22x = 2,035,776,876.17
  5. Step 5: Solve for x
    x = 2,035,776,876.17/52,157.22
  6. Step 6: Final answer
    x = 39,031.55

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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.