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Finding the Fourth Proportional to 131,438.70, 197,158.05 and 78,821.10

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Solution

The fourth proportional to 131,438.70, 197,158.05 and 78,821.10 is: 118,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,438.70 : 197,158.05 = 78,821.10 : x
  2. Step 2: Convert to fraction form
    131,438.70/197,158.05 = 78,821.10/x
  3. Step 3: Cross multiply
    131,438.70x = 197,158.05 × 78,821.10
  4. Step 4: Simplify right side
    131,438.70x = 15,540,214,374.86
  5. Step 5: Solve for x
    x = 15,540,214,374.86/131,438.70
  6. Step 6: Final answer
    x = 118,231.65

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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.