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Finding the Fourth Proportional to 142,812.40, 214,121.40 and 67,968.40

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Solution

The fourth proportional to 142,812.40, 214,121.40 and 67,968.40 is: 101,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812.40 : 214,121.40 = 67,968.40 : x
  2. Step 2: Convert to fraction form
    142,812.40/214,121.40 = 67,968.40/x
  3. Step 3: Cross multiply
    142,812.40x = 214,121.40 × 67,968.40
  4. Step 4: Simplify right side
    142,812.40x = 14,553,488,963.76
  5. Step 5: Solve for x
    x = 14,553,488,963.76/142,812.40
  6. Step 6: Final answer
    x = 101,906.34

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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.