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Finding the Fourth Proportional to 48,286, 66,638.52 and 28,417.84

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Solution

The fourth proportional to 48,286, 66,638.52 and 28,417.84 is: 39,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286 : 66,638.52 = 28,417.84 : x
  2. Step 2: Convert to fraction form
    48,286/66,638.52 = 28,417.84/x
  3. Step 3: Cross multiply
    48,286x = 66,638.52 × 28,417.84
  4. Step 4: Simplify right side
    48,286x = 1,893,722,799.20
  5. Step 5: Solve for x
    x = 1,893,722,799.20/48,286
  6. Step 6: Final answer
    x = 39,218.88

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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.