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Finding the Fourth Proportional to 130,634.45, 196,019.10 and 55,734.49

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Solution

The fourth proportional to 130,634.45, 196,019.10 and 55,734.49 is: 83,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,634.45 : 196,019.10 = 55,734.49 : x
  2. Step 2: Convert to fraction form
    130,634.45/196,019.10 = 55,734.49/x
  3. Step 3: Cross multiply
    130,634.45x = 196,019.10 × 55,734.49
  4. Step 4: Simplify right side
    130,634.45x = 10,925,024,568.76
  5. Step 5: Solve for x
    x = 10,925,024,568.76/130,634.45
  6. Step 6: Final answer
    x = 83,630.50

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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.