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Finding the Fourth Proportional to 162,029.80, 243,044.70 and 144,971.20

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Solution

The fourth proportional to 162,029.80, 243,044.70 and 144,971.20 is: 217,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,029.80 : 243,044.70 = 144,971.20 : x
  2. Step 2: Convert to fraction form
    162,029.80/243,044.70 = 144,971.20/x
  3. Step 3: Cross multiply
    162,029.80x = 243,044.70 × 144,971.20
  4. Step 4: Simplify right side
    162,029.80x = 35,234,481,812.64
  5. Step 5: Solve for x
    x = 35,234,481,812.64/162,029.80
  6. Step 6: Final answer
    x = 217,456.80

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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.