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Finding the Fourth Proportional to 197,730, 272,868.36 and 108,306

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Solution

The fourth proportional to 197,730, 272,868.36 and 108,306 is: 149,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,730 : 272,868.36 = 108,306 : x
  2. Step 2: Convert to fraction form
    197,730/272,868.36 = 108,306/x
  3. Step 3: Cross multiply
    197,730x = 272,868.36 × 108,306
  4. Step 4: Simplify right side
    197,730x = 29,553,280,598.16
  5. Step 5: Solve for x
    x = 29,553,280,598.16/197,730
  6. Step 6: Final answer
    x = 149,462.81

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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.