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Finding the Fourth Proportional to 272,416.26, 408,741.90 and 103,987.17

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Solution

The fourth proportional to 272,416.26, 408,741.90 and 103,987.17 is: 156,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,416.26 : 408,741.90 = 103,987.17 : x
  2. Step 2: Convert to fraction form
    272,416.26/408,741.90 = 103,987.17/x
  3. Step 3: Cross multiply
    272,416.26x = 408,741.90 × 103,987.17
  4. Step 4: Simplify right side
    272,416.26x = 42,503,913,441.42
  5. Step 5: Solve for x
    x = 42,503,913,441.42/272,416.26
  6. Step 6: Final answer
    x = 156,025.61

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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.