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Finding the Fourth Proportional to 89,069.78, 122,857.16 and 57,278.90

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Solution

The fourth proportional to 89,069.78, 122,857.16 and 57,278.90 is: 79,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,069.78 : 122,857.16 = 57,278.90 : x
  2. Step 2: Convert to fraction form
    89,069.78/122,857.16 = 57,278.90/x
  3. Step 3: Cross multiply
    89,069.78x = 122,857.16 × 57,278.90
  4. Step 4: Simplify right side
    89,069.78x = 7,037,122,981.92
  5. Step 5: Solve for x
    x = 7,037,122,981.92/89,069.78
  6. Step 6: Final answer
    x = 79,006.85

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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.