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Finding the Fourth Proportional to 52,135.80, 71,947.50 and 28,262.40

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Solution

The fourth proportional to 52,135.80, 71,947.50 and 28,262.40 is: 39,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,135.80 : 71,947.50 = 28,262.40 : x
  2. Step 2: Convert to fraction form
    52,135.80/71,947.50 = 28,262.40/x
  3. Step 3: Cross multiply
    52,135.80x = 71,947.50 × 28,262.40
  4. Step 4: Simplify right side
    52,135.80x = 2,033,409,024
  5. Step 5: Solve for x
    x = 2,033,409,024/52,135.80
  6. Step 6: Final answer
    x = 39,002.16

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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.