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Finding the Fourth Proportional to 172,564.20, 238,138.20 and 97,112.88

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Solution

The fourth proportional to 172,564.20, 238,138.20 and 97,112.88 is: 134,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564.20 : 238,138.20 = 97,112.88 : x
  2. Step 2: Convert to fraction form
    172,564.20/238,138.20 = 97,112.88/x
  3. Step 3: Cross multiply
    172,564.20x = 238,138.20 × 97,112.88
  4. Step 4: Simplify right side
    172,564.20x = 23,126,286,440.02
  5. Step 5: Solve for x
    x = 23,126,286,440.02/172,564.20
  6. Step 6: Final answer
    x = 134,015.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.