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Finding the Fourth Proportional to 131,662.20, 197,493.30 and 78,518.10

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Solution

The fourth proportional to 131,662.20, 197,493.30 and 78,518.10 is: 117,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,662.20 : 197,493.30 = 78,518.10 : x
  2. Step 2: Convert to fraction form
    131,662.20/197,493.30 = 78,518.10/x
  3. Step 3: Cross multiply
    131,662.20x = 197,493.30 × 78,518.10
  4. Step 4: Simplify right side
    131,662.20x = 15,506,798,678.73
  5. Step 5: Solve for x
    x = 15,506,798,678.73/131,662.20
  6. Step 6: Final answer
    x = 117,777.15

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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.