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Finding the Fourth Proportional to 202,988.80, 304,502.40 and 55,244.80

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Solution

The fourth proportional to 202,988.80, 304,502.40 and 55,244.80 is: 82,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,988.80 : 304,502.40 = 55,244.80 : x
  2. Step 2: Convert to fraction form
    202,988.80/304,502.40 = 55,244.80/x
  3. Step 3: Cross multiply
    202,988.80x = 304,502.40 × 55,244.80
  4. Step 4: Simplify right side
    202,988.80x = 16,822,174,187.52
  5. Step 5: Solve for x
    x = 16,822,174,187.52/202,988.80
  6. Step 6: Final answer
    x = 82,872.43

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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.