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Finding the Fourth Proportional to 85,815.16, 128,023.91 and 71,861.56

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Solution

The fourth proportional to 85,815.16, 128,023.91 and 71,861.56 is: 107,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,815.16 : 128,023.91 = 71,861.56 : x
  2. Step 2: Convert to fraction form
    85,815.16/128,023.91 = 71,861.56/x
  3. Step 3: Cross multiply
    85,815.16x = 128,023.91 × 71,861.56
  4. Step 4: Simplify right side
    85,815.16x = 9,199,997,889.90
  5. Step 5: Solve for x
    x = 9,199,997,889.90/85,815.16
  6. Step 6: Final answer
    x = 107,207.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.