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Finding the Fourth Proportional to 85,874.82, 128,795.82 and 26,711.20

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Solution

The fourth proportional to 85,874.82, 128,795.82 and 26,711.20 is: 40,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874.82 : 128,795.82 = 26,711.20 : x
  2. Step 2: Convert to fraction form
    85,874.82/128,795.82 = 26,711.20/x
  3. Step 3: Cross multiply
    85,874.82x = 128,795.82 × 26,711.20
  4. Step 4: Simplify right side
    85,874.82x = 3,440,290,907.18
  5. Step 5: Solve for x
    x = 3,440,290,907.18/85,874.82
  6. Step 6: Final answer
    x = 40,061.70

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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.