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Finding the Fourth Proportional to 90,782, 125,279.16 and 51,038

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Solution

The fourth proportional to 90,782, 125,279.16 and 51,038 is: 70,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,782 : 125,279.16 = 51,038 : x
  2. Step 2: Convert to fraction form
    90,782/125,279.16 = 51,038/x
  3. Step 3: Cross multiply
    90,782x = 125,279.16 × 51,038
  4. Step 4: Simplify right side
    90,782x = 6,393,997,768.08
  5. Step 5: Solve for x
    x = 6,393,997,768.08/90,782
  6. Step 6: Final answer
    x = 70,432.44

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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.