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Finding the Fourth Proportional to 85,614.88, 128,248.24 and 69,876

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Solution

The fourth proportional to 85,614.88, 128,248.24 and 69,876 is: 104,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,614.88 : 128,248.24 = 69,876 : x
  2. Step 2: Convert to fraction form
    85,614.88/128,248.24 = 69,876/x
  3. Step 3: Cross multiply
    85,614.88x = 128,248.24 × 69,876
  4. Step 4: Simplify right side
    85,614.88x = 8,961,474,018.24
  5. Step 5: Solve for x
    x = 8,961,474,018.24/85,614.88
  6. Step 6: Final answer
    x = 104,671.92

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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.