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Finding the Fourth Proportional to 48,978.90, 67,589.64 and 27,758.16

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Solution

The fourth proportional to 48,978.90, 67,589.64 and 27,758.16 is: 38,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.90 : 67,589.64 = 27,758.16 : x
  2. Step 2: Convert to fraction form
    48,978.90/67,589.64 = 27,758.16/x
  3. Step 3: Cross multiply
    48,978.90x = 67,589.64 × 27,758.16
  4. Step 4: Simplify right side
    48,978.90x = 1,876,164,041.46
  5. Step 5: Solve for x
    x = 1,876,164,041.46/48,978.90
  6. Step 6: Final answer
    x = 38,305.56

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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.