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Finding the Fourth Proportional to 261,920, 361,449.60 and 142,688

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Solution

The fourth proportional to 261,920, 361,449.60 and 142,688 is: 196,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,920 : 361,449.60 = 142,688 : x
  2. Step 2: Convert to fraction form
    261,920/361,449.60 = 142,688/x
  3. Step 3: Cross multiply
    261,920x = 361,449.60 × 142,688
  4. Step 4: Simplify right side
    261,920x = 51,574,520,524.80
  5. Step 5: Solve for x
    x = 51,574,520,524.80/261,920
  6. Step 6: Final answer
    x = 196,909.44

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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.