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Finding the Fourth Proportional to 185,814.70, 278,722.05 and 156,946.30

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Solution

The fourth proportional to 185,814.70, 278,722.05 and 156,946.30 is: 235,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,814.70 : 278,722.05 = 156,946.30 : x
  2. Step 2: Convert to fraction form
    185,814.70/278,722.05 = 156,946.30/x
  3. Step 3: Cross multiply
    185,814.70x = 278,722.05 × 156,946.30
  4. Step 4: Simplify right side
    185,814.70x = 43,744,394,475.92
  5. Step 5: Solve for x
    x = 43,744,394,475.92/185,814.70
  6. Step 6: Final answer
    x = 235,419.45

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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.