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Finding the Fourth Proportional to 198,249, 273,402.12 and 130,239

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Solution

The fourth proportional to 198,249, 273,402.12 and 130,239 is: 179,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,249 : 273,402.12 = 130,239 : x
  2. Step 2: Convert to fraction form
    198,249/273,402.12 = 130,239/x
  3. Step 3: Cross multiply
    198,249x = 273,402.12 × 130,239
  4. Step 4: Simplify right side
    198,249x = 35,607,618,706.68
  5. Step 5: Solve for x
    x = 35,607,618,706.68/198,249
  6. Step 6: Final answer
    x = 179,610.58

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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.