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Finding the Fourth Proportional to 152,929.75, 211,043.06 and 85,861.75

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Solution

The fourth proportional to 152,929.75, 211,043.06 and 85,861.75 is: 118,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,929.75 : 211,043.06 = 85,861.75 : x
  2. Step 2: Convert to fraction form
    152,929.75/211,043.06 = 85,861.75/x
  3. Step 3: Cross multiply
    152,929.75x = 211,043.06 × 85,861.75
  4. Step 4: Simplify right side
    152,929.75x = 18,120,526,456.96
  5. Step 5: Solve for x
    x = 18,120,526,456.96/152,929.75
  6. Step 6: Final answer
    x = 118,489.22

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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.