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Finding the Fourth Proportional to 48,002, 66,242.58 and 26,780

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Solution

The fourth proportional to 48,002, 66,242.58 and 26,780 is: 36,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002 : 66,242.58 = 26,780 : x
  2. Step 2: Convert to fraction form
    48,002/66,242.58 = 26,780/x
  3. Step 3: Cross multiply
    48,002x = 66,242.58 × 26,780
  4. Step 4: Simplify right side
    48,002x = 1,773,976,292.40
  5. Step 5: Solve for x
    x = 1,773,976,292.40/48,002
  6. Step 6: Final answer
    x = 36,956.30

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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.