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Finding the Fourth Proportional to 261,319.68, 391,811.04 and 111,657.60

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Solution

The fourth proportional to 261,319.68, 391,811.04 and 111,657.60 is: 167,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,319.68 : 391,811.04 = 111,657.60 : x
  2. Step 2: Convert to fraction form
    261,319.68/391,811.04 = 111,657.60/x
  3. Step 3: Cross multiply
    261,319.68x = 391,811.04 × 111,657.60
  4. Step 4: Simplify right side
    261,319.68x = 43,748,680,379.90
  5. Step 5: Solve for x
    x = 43,748,680,379.90/261,319.68
  6. Step 6: Final answer
    x = 167,414.41

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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.