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Finding the Fourth Proportional to 232,814, 321,283.32 and 126,830

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Solution

The fourth proportional to 232,814, 321,283.32 and 126,830 is: 175,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,814 : 321,283.32 = 126,830 : x
  2. Step 2: Convert to fraction form
    232,814/321,283.32 = 126,830/x
  3. Step 3: Cross multiply
    232,814x = 321,283.32 × 126,830
  4. Step 4: Simplify right side
    232,814x = 40,748,363,475.60
  5. Step 5: Solve for x
    x = 40,748,363,475.60/232,814
  6. Step 6: Final answer
    x = 175,025.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.