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Finding the Fourth Proportional to 131,184, 196,795.20 and 42,408

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Solution

The fourth proportional to 131,184, 196,795.20 and 42,408 is: 63,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 196,795.20 = 42,408 : x
  2. Step 2: Convert to fraction form
    131,184/196,795.20 = 42,408/x
  3. Step 3: Cross multiply
    131,184x = 196,795.20 × 42,408
  4. Step 4: Simplify right side
    131,184x = 8,345,690,841.60
  5. Step 5: Solve for x
    x = 8,345,690,841.60/131,184
  6. Step 6: Final answer
    x = 63,618.21

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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.