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Finding the Fourth Proportional to 75,250, 103,861.20 and 45,042.06

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Solution

The fourth proportional to 75,250, 103,861.20 and 45,042.06 is: 62,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250 : 103,861.20 = 45,042.06 : x
  2. Step 2: Convert to fraction form
    75,250/103,861.20 = 45,042.06/x
  3. Step 3: Cross multiply
    75,250x = 103,861.20 × 45,042.06
  4. Step 4: Simplify right side
    75,250x = 4,678,122,402.07
  5. Step 5: Solve for x
    x = 4,678,122,402.07/75,250
  6. Step 6: Final answer
    x = 62,167.74

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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.