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Finding the Fourth Proportional to 85,834.65, 128,751.98 and 54,341.85

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Solution

The fourth proportional to 85,834.65, 128,751.98 and 54,341.85 is: 81,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,834.65 : 128,751.98 = 54,341.85 : x
  2. Step 2: Convert to fraction form
    85,834.65/128,751.98 = 54,341.85/x
  3. Step 3: Cross multiply
    85,834.65x = 128,751.98 × 54,341.85
  4. Step 4: Simplify right side
    85,834.65x = 6,996,620,512.65
  5. Step 5: Solve for x
    x = 6,996,620,512.65/85,834.65
  6. Step 6: Final answer
    x = 81,512.78

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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.