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Finding the Fourth Proportional to 202,869.60, 304,304.40 and 102,991.20

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Solution

The fourth proportional to 202,869.60, 304,304.40 and 102,991.20 is: 154,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,869.60 : 304,304.40 = 102,991.20 : x
  2. Step 2: Convert to fraction form
    202,869.60/304,304.40 = 102,991.20/x
  3. Step 3: Cross multiply
    202,869.60x = 304,304.40 × 102,991.20
  4. Step 4: Simplify right side
    202,869.60x = 31,340,675,321.28
  5. Step 5: Solve for x
    x = 31,340,675,321.28/202,869.60
  6. Step 6: Final answer
    x = 154,486.80

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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.