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Finding the Fourth Proportional to 129,364.57, 193,816 and 70,162.48

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Solution

The fourth proportional to 129,364.57, 193,816 and 70,162.48 is: 105,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,364.57 : 193,816 = 70,162.48 : x
  2. Step 2: Convert to fraction form
    129,364.57/193,816 = 70,162.48/x
  3. Step 3: Cross multiply
    129,364.57x = 193,816 × 70,162.48
  4. Step 4: Simplify right side
    129,364.57x = 13,598,611,223.68
  5. Step 5: Solve for x
    x = 13,598,611,223.68/129,364.57
  6. Step 6: Final answer
    x = 105,118.51

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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.