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Finding the Fourth Proportional to 65,791, 90,793.74 and 35,983

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Solution

The fourth proportional to 65,791, 90,793.74 and 35,983 is: 49,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791 : 90,793.74 = 35,983 : x
  2. Step 2: Convert to fraction form
    65,791/90,793.74 = 35,983/x
  3. Step 3: Cross multiply
    65,791x = 90,793.74 × 35,983
  4. Step 4: Simplify right side
    65,791x = 3,267,031,146.42
  5. Step 5: Solve for x
    x = 3,267,031,146.42/65,791
  6. Step 6: Final answer
    x = 49,657.72

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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.