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Finding the Fourth Proportional to 145,821.90, 201,234.18 and 78,753.90

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Solution

The fourth proportional to 145,821.90, 201,234.18 and 78,753.90 is: 108,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821.90 : 201,234.18 = 78,753.90 : x
  2. Step 2: Convert to fraction form
    145,821.90/201,234.18 = 78,753.90/x
  3. Step 3: Cross multiply
    145,821.90x = 201,234.18 × 78,753.90
  4. Step 4: Simplify right side
    145,821.90x = 15,847,976,488.30
  5. Step 5: Solve for x
    x = 15,847,976,488.30/145,821.90
  6. Step 6: Final answer
    x = 108,680.36

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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.