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Finding the Fourth Proportional to 185,988.96, 278,978.28 and 67,662.48

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Solution

The fourth proportional to 185,988.96, 278,978.28 and 67,662.48 is: 101,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,988.96 : 278,978.28 = 67,662.48 : x
  2. Step 2: Convert to fraction form
    185,988.96/278,978.28 = 67,662.48/x
  3. Step 3: Cross multiply
    185,988.96x = 278,978.28 × 67,662.48
  4. Step 4: Simplify right side
    185,988.96x = 18,876,362,290.93
  5. Step 5: Solve for x
    x = 18,876,362,290.93/185,988.96
  6. Step 6: Final answer
    x = 101,491.84

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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.