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Finding the Fourth Proportional to 197,624, 272,721.12 and 108,200

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Solution

The fourth proportional to 197,624, 272,721.12 and 108,200 is: 149,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 272,721.12 = 108,200 : x
  2. Step 2: Convert to fraction form
    197,624/272,721.12 = 108,200/x
  3. Step 3: Cross multiply
    197,624x = 272,721.12 × 108,200
  4. Step 4: Simplify right side
    197,624x = 29,508,425,184
  5. Step 5: Solve for x
    x = 29,508,425,184/197,624
  6. Step 6: Final answer
    x = 149,316

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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.