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Finding the Fourth Proportional to 148,871.73, 205,460.64 and 85,230.03

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Solution

The fourth proportional to 148,871.73, 205,460.64 and 85,230.03 is: 117,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871.73 : 205,460.64 = 85,230.03 : x
  2. Step 2: Convert to fraction form
    148,871.73/205,460.64 = 85,230.03/x
  3. Step 3: Cross multiply
    148,871.73x = 205,460.64 × 85,230.03
  4. Step 4: Simplify right side
    148,871.73x = 17,511,416,511.02
  5. Step 5: Solve for x
    x = 17,511,416,511.02/148,871.73
  6. Step 6: Final answer
    x = 117,627.55

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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.