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Finding the Fourth Proportional to 52,157.40, 71,977.50 and 28,283.91

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Solution

The fourth proportional to 52,157.40, 71,977.50 and 28,283.91 is: 39,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.40 : 71,977.50 = 28,283.91 : x
  2. Step 2: Convert to fraction form
    52,157.40/71,977.50 = 28,283.91/x
  3. Step 3: Cross multiply
    52,157.40x = 71,977.50 × 28,283.91
  4. Step 4: Simplify right side
    52,157.40x = 2,035,805,132.03
  5. Step 5: Solve for x
    x = 2,035,805,132.03/52,157.40
  6. Step 6: Final answer
    x = 39,031.95

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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.