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Finding the Fourth Proportional to 48,381.80, 66,761 and 27,156.56

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Solution

The fourth proportional to 48,381.80, 66,761 and 27,156.56 is: 37,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381.80 : 66,761 = 27,156.56 : x
  2. Step 2: Convert to fraction form
    48,381.80/66,761 = 27,156.56/x
  3. Step 3: Cross multiply
    48,381.80x = 66,761 × 27,156.56
  4. Step 4: Simplify right side
    48,381.80x = 1,812,999,102.16
  5. Step 5: Solve for x
    x = 1,812,999,102.16/48,381.80
  6. Step 6: Final answer
    x = 37,472.75

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1.5x scale

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.