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Finding the Fourth Proportional to 185,424.30, 278,013.60 and 67,080.06

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Solution

The fourth proportional to 185,424.30, 278,013.60 and 67,080.06 is: 100,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,424.30 : 278,013.60 = 67,080.06 : x
  2. Step 2: Convert to fraction form
    185,424.30/278,013.60 = 67,080.06/x
  3. Step 3: Cross multiply
    185,424.30x = 278,013.60 × 67,080.06
  4. Step 4: Simplify right side
    185,424.30x = 18,649,168,968.82
  5. Step 5: Solve for x
    x = 18,649,168,968.82/185,424.30
  6. Step 6: Final answer
    x = 100,575.65

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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.