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Finding the Fourth Proportional to 48,201.74, 72,288.02 and 28,475

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Solution

The fourth proportional to 48,201.74, 72,288.02 and 28,475 is: 42,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.74 : 72,288.02 = 28,475 : x
  2. Step 2: Convert to fraction form
    48,201.74/72,288.02 = 28,475/x
  3. Step 3: Cross multiply
    48,201.74x = 72,288.02 × 28,475
  4. Step 4: Simplify right side
    48,201.74x = 2,058,401,369.50
  5. Step 5: Solve for x
    x = 2,058,401,369.50/48,201.74
  6. Step 6: Final answer
    x = 42,703.88

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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.