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Finding the Fourth Proportional to 65,376.70, 90,189.93 and 42,709.66

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Solution

The fourth proportional to 65,376.70, 90,189.93 and 42,709.66 is: 58,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376.70 : 90,189.93 = 42,709.66 : x
  2. Step 2: Convert to fraction form
    65,376.70/90,189.93 = 42,709.66/x
  3. Step 3: Cross multiply
    65,376.70x = 90,189.93 × 42,709.66
  4. Step 4: Simplify right side
    65,376.70x = 3,851,981,245.72
  5. Step 5: Solve for x
    x = 3,851,981,245.72/65,376.70
  6. Step 6: Final answer
    x = 58,919.79

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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.