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Finding the Fourth Proportional to 172,857, 238,542.66 and 97,408.20

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Solution

The fourth proportional to 172,857, 238,542.66 and 97,408.20 is: 134,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857 : 238,542.66 = 97,408.20 : x
  2. Step 2: Convert to fraction form
    172,857/238,542.66 = 97,408.20/x
  3. Step 3: Cross multiply
    172,857x = 238,542.66 × 97,408.20
  4. Step 4: Simplify right side
    172,857x = 23,236,011,133.81
  5. Step 5: Solve for x
    x = 23,236,011,133.81/172,857
  6. Step 6: Final answer
    x = 134,423.32

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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.