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Finding the Fourth Proportional to 198,424.68, 273,748.89 and 112,363.89

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Solution

The fourth proportional to 198,424.68, 273,748.89 and 112,363.89 is: 155,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,424.68 : 273,748.89 = 112,363.89 : x
  2. Step 2: Convert to fraction form
    198,424.68/273,748.89 = 112,363.89/x
  3. Step 3: Cross multiply
    198,424.68x = 273,748.89 × 112,363.89
  4. Step 4: Simplify right side
    198,424.68x = 30,759,490,163.58
  5. Step 5: Solve for x
    x = 30,759,490,163.58/198,424.68
  6. Step 6: Final answer
    x = 155,018.47

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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.