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Finding the Fourth Proportional to 202,395.20, 302,815.20 and 132,411.20

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Solution

The fourth proportional to 202,395.20, 302,815.20 and 132,411.20 is: 198,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,395.20 : 302,815.20 = 132,411.20 : x
  2. Step 2: Convert to fraction form
    202,395.20/302,815.20 = 132,411.20/x
  3. Step 3: Cross multiply
    202,395.20x = 302,815.20 × 132,411.20
  4. Step 4: Simplify right side
    202,395.20x = 40,096,124,010.24
  5. Step 5: Solve for x
    x = 40,096,124,010.24/202,395.20
  6. Step 6: Final answer
    x = 198,108.08

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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.