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Finding the Fourth Proportional to 212,104.68, 318,387.56 and 85,831.86

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Solution

The fourth proportional to 212,104.68, 318,387.56 and 85,831.86 is: 128,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,104.68 : 318,387.56 = 85,831.86 : x
  2. Step 2: Convert to fraction form
    212,104.68/318,387.56 = 85,831.86/x
  3. Step 3: Cross multiply
    212,104.68x = 318,387.56 × 85,831.86
  4. Step 4: Simplify right side
    212,104.68x = 27,327,796,046.50
  5. Step 5: Solve for x
    x = 27,327,796,046.50/212,104.68
  6. Step 6: Final answer
    x = 128,841.08

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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.