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Finding the Fourth Proportional to 185,820.80, 278,860.80 and 119,422.40

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Solution

The fourth proportional to 185,820.80, 278,860.80 and 119,422.40 is: 179,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.80 : 278,860.80 = 119,422.40 : x
  2. Step 2: Convert to fraction form
    185,820.80/278,860.80 = 119,422.40/x
  3. Step 3: Cross multiply
    185,820.80x = 278,860.80 × 119,422.40
  4. Step 4: Simplify right side
    185,820.80x = 33,302,226,001.92
  5. Step 5: Solve for x
    x = 33,302,226,001.92/185,820.80
  6. Step 6: Final answer
    x = 179,216.89

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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.