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Finding the Fourth Proportional to 185,412.20, 278,204.70 and 138,756.20

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Solution

The fourth proportional to 185,412.20, 278,204.70 and 138,756.20 is: 208,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,412.20 : 278,204.70 = 138,756.20 : x
  2. Step 2: Convert to fraction form
    185,412.20/278,204.70 = 138,756.20/x
  3. Step 3: Cross multiply
    185,412.20x = 278,204.70 × 138,756.20
  4. Step 4: Simplify right side
    185,412.20x = 38,602,626,994.14
  5. Step 5: Solve for x
    x = 38,602,626,994.14/185,412.20
  6. Step 6: Final answer
    x = 208,198.96

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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.