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Finding the Fourth Proportional to 152,990.92, 211,104.50 and 85,909.96

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Solution

The fourth proportional to 152,990.92, 211,104.50 and 85,909.96 is: 118,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,990.92 : 211,104.50 = 85,909.96 : x
  2. Step 2: Convert to fraction form
    152,990.92/211,104.50 = 85,909.96/x
  3. Step 3: Cross multiply
    152,990.92x = 211,104.50 × 85,909.96
  4. Step 4: Simplify right side
    152,990.92x = 18,135,979,150.82
  5. Step 5: Solve for x
    x = 18,135,979,150.82/152,990.92
  6. Step 6: Final answer
    x = 118,542.85

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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.