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Finding the Fourth Proportional to 268,209.60, 402,314.40 and 81,221.10

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Solution

The fourth proportional to 268,209.60, 402,314.40 and 81,221.10 is: 121,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,209.60 : 402,314.40 = 81,221.10 : x
  2. Step 2: Convert to fraction form
    268,209.60/402,314.40 = 81,221.10/x
  3. Step 3: Cross multiply
    268,209.60x = 402,314.40 × 81,221.10
  4. Step 4: Simplify right side
    268,209.60x = 32,676,418,113.84
  5. Step 5: Solve for x
    x = 32,676,418,113.84/268,209.60
  6. Step 6: Final answer
    x = 121,831.65

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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.