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Finding the Fourth Proportional to 145,348, 200,596.84 and 80,823.66

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Solution

The fourth proportional to 145,348, 200,596.84 and 80,823.66 is: 111,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,348 : 200,596.84 = 80,823.66 : x
  2. Step 2: Convert to fraction form
    145,348/200,596.84 = 80,823.66/x
  3. Step 3: Cross multiply
    145,348x = 200,596.84 × 80,823.66
  4. Step 4: Simplify right side
    145,348x = 16,212,970,793.23
  5. Step 5: Solve for x
    x = 16,212,970,793.23/145,348
  6. Step 6: Final answer
    x = 111,545.88

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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.