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Finding the Fourth Proportional to 142,708.10, 214,062.15 and 133,960.10

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Solution

The fourth proportional to 142,708.10, 214,062.15 and 133,960.10 is: 200,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,708.10 : 214,062.15 = 133,960.10 : x
  2. Step 2: Convert to fraction form
    142,708.10/214,062.15 = 133,960.10/x
  3. Step 3: Cross multiply
    142,708.10x = 214,062.15 × 133,960.10
  4. Step 4: Simplify right side
    142,708.10x = 28,675,787,020.22
  5. Step 5: Solve for x
    x = 28,675,787,020.22/142,708.10
  6. Step 6: Final answer
    x = 200,940.15

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1.5x scale

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.