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Finding the Fourth Proportional to 131,288.40, 196,884 and 103,263

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Solution

The fourth proportional to 131,288.40, 196,884 and 103,263 is: 154,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,288.40 : 196,884 = 103,263 : x
  2. Step 2: Convert to fraction form
    131,288.40/196,884 = 103,263/x
  3. Step 3: Cross multiply
    131,288.40x = 196,884 × 103,263
  4. Step 4: Simplify right side
    131,288.40x = 20,330,832,492
  5. Step 5: Solve for x
    x = 20,330,832,492/131,288.40
  6. Step 6: Final answer
    x = 154,856.27

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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.