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Finding the Fourth Proportional to 146,823.20, 220,234.80 and 136,908.80

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Solution

The fourth proportional to 146,823.20, 220,234.80 and 136,908.80 is: 205,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,823.20 : 220,234.80 = 136,908.80 : x
  2. Step 2: Convert to fraction form
    146,823.20/220,234.80 = 136,908.80/x
  3. Step 3: Cross multiply
    146,823.20x = 220,234.80 × 136,908.80
  4. Step 4: Simplify right side
    146,823.20x = 30,152,082,186.24
  5. Step 5: Solve for x
    x = 30,152,082,186.24/146,823.20
  6. Step 6: Final answer
    x = 205,363.20

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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.