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Finding the Fourth Proportional to 131,220, 196,859.16 and 48,114

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Solution

The fourth proportional to 131,220, 196,859.16 and 48,114 is: 72,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 196,859.16 = 48,114 : x
  2. Step 2: Convert to fraction form
    131,220/196,859.16 = 48,114/x
  3. Step 3: Cross multiply
    131,220x = 196,859.16 × 48,114
  4. Step 4: Simplify right side
    131,220x = 9,471,681,624.24
  5. Step 5: Solve for x
    x = 9,471,681,624.24/131,220
  6. Step 6: Final answer
    x = 72,181.69

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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.