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Finding the Fourth Proportional to 52,138.95, 71,952.12 and 28,266

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Solution

The fourth proportional to 52,138.95, 71,952.12 and 28,266 is: 39,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.95 : 71,952.12 = 28,266 : x
  2. Step 2: Convert to fraction form
    52,138.95/71,952.12 = 28,266/x
  3. Step 3: Cross multiply
    52,138.95x = 71,952.12 × 28,266
  4. Step 4: Simplify right side
    52,138.95x = 2,033,798,623.92
  5. Step 5: Solve for x
    x = 2,033,798,623.92/52,138.95
  6. Step 6: Final answer
    x = 39,007.28

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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.