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Finding the Fourth Proportional to 145,167.49, 200,341.02 and 80,644.09

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Solution

The fourth proportional to 145,167.49, 200,341.02 and 80,644.09 is: 111,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,167.49 : 200,341.02 = 80,644.09 : x
  2. Step 2: Convert to fraction form
    145,167.49/200,341.02 = 80,644.09/x
  3. Step 3: Cross multiply
    145,167.49x = 200,341.02 × 80,644.09
  4. Step 4: Simplify right side
    145,167.49x = 16,156,319,247.57
  5. Step 5: Solve for x
    x = 16,156,319,247.57/145,167.49
  6. Step 6: Final answer
    x = 111,294.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.