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Finding the Fourth Proportional to 67,878.59, 101,834.35 and 20,490.86

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Solution

The fourth proportional to 67,878.59, 101,834.35 and 20,490.86 is: 30,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878.59 : 101,834.35 = 20,490.86 : x
  2. Step 2: Convert to fraction form
    67,878.59/101,834.35 = 20,490.86/x
  3. Step 3: Cross multiply
    67,878.59x = 101,834.35 × 20,490.86
  4. Step 4: Simplify right side
    67,878.59x = 2,086,672,899.87
  5. Step 5: Solve for x
    x = 2,086,672,899.87/67,878.59
  6. Step 6: Final answer
    x = 30,741.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.