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Finding the Fourth Proportional to 198,459, 273,876.30 and 107,816.58

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Solution

The fourth proportional to 198,459, 273,876.30 and 107,816.58 is: 148,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,459 : 273,876.30 = 107,816.58 : x
  2. Step 2: Convert to fraction form
    198,459/273,876.30 = 107,816.58/x
  3. Step 3: Cross multiply
    198,459x = 273,876.30 × 107,816.58
  4. Step 4: Simplify right side
    198,459x = 29,528,406,009.05
  5. Step 5: Solve for x
    x = 29,528,406,009.05/198,459
  6. Step 6: Final answer
    x = 148,788.45

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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.