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Finding the Fourth Proportional to 148,968.96, 205,617.96 and 87,768.96

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Solution

The fourth proportional to 148,968.96, 205,617.96 and 87,768.96 is: 121,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968.96 : 205,617.96 = 87,768.96 : x
  2. Step 2: Convert to fraction form
    148,968.96/205,617.96 = 87,768.96/x
  3. Step 3: Cross multiply
    148,968.96x = 205,617.96 × 87,768.96
  4. Step 4: Simplify right side
    148,968.96x = 18,046,874,506.52
  5. Step 5: Solve for x
    x = 18,046,874,506.52/148,968.96
  6. Step 6: Final answer
    x = 121,145.20

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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.