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Finding the Fourth Proportional to 68,875.76, 95,042.22 and 38,666

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Solution

The fourth proportional to 68,875.76, 95,042.22 and 38,666 is: 53,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,875.76 : 95,042.22 = 38,666 : x
  2. Step 2: Convert to fraction form
    68,875.76/95,042.22 = 38,666/x
  3. Step 3: Cross multiply
    68,875.76x = 95,042.22 × 38,666
  4. Step 4: Simplify right side
    68,875.76x = 3,674,902,478.52
  5. Step 5: Solve for x
    x = 3,674,902,478.52/68,875.76
  6. Step 6: Final answer
    x = 53,355.53

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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.