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Finding the Fourth Proportional to 90,758.62, 125,239.68 and 50,470

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Solution

The fourth proportional to 90,758.62, 125,239.68 and 50,470 is: 69,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,758.62 : 125,239.68 = 50,470 : x
  2. Step 2: Convert to fraction form
    90,758.62/125,239.68 = 50,470/x
  3. Step 3: Cross multiply
    90,758.62x = 125,239.68 × 50,470
  4. Step 4: Simplify right side
    90,758.62x = 6,320,846,649.60
  5. Step 5: Solve for x
    x = 6,320,846,649.60/90,758.62
  6. Step 6: Final answer
    x = 69,644.59

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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.