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Finding the Fourth Proportional to 142,963.72, 214,106.60 and 113,286.13

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Solution

The fourth proportional to 142,963.72, 214,106.60 and 113,286.13 is: 169,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963.72 : 214,106.60 = 113,286.13 : x
  2. Step 2: Convert to fraction form
    142,963.72/214,106.60 = 113,286.13/x
  3. Step 3: Cross multiply
    142,963.72x = 214,106.60 × 113,286.13
  4. Step 4: Simplify right side
    142,963.72x = 24,255,307,555.03
  5. Step 5: Solve for x
    x = 24,255,307,555.03/142,963.72
  6. Step 6: Final answer
    x = 169,660.58

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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.