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Finding the Fourth Proportional to 202,126.40, 302,752.20 and 108,522.80

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Solution

The fourth proportional to 202,126.40, 302,752.20 and 108,522.80 is: 162,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,126.40 : 302,752.20 = 108,522.80 : x
  2. Step 2: Convert to fraction form
    202,126.40/302,752.20 = 108,522.80/x
  3. Step 3: Cross multiply
    202,126.40x = 302,752.20 × 108,522.80
  4. Step 4: Simplify right side
    202,126.40x = 32,855,516,450.16
  5. Step 5: Solve for x
    x = 32,855,516,450.16/202,126.40
  6. Step 6: Final answer
    x = 162,549.36

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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.