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Finding the Fourth Proportional to 148,805.82, 205,353.54 and 80,823.45

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Solution

The fourth proportional to 148,805.82, 205,353.54 and 80,823.45 is: 111,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,805.82 : 205,353.54 = 80,823.45 : x
  2. Step 2: Convert to fraction form
    148,805.82/205,353.54 = 80,823.45/x
  3. Step 3: Cross multiply
    148,805.82x = 205,353.54 × 80,823.45
  4. Step 4: Simplify right side
    148,805.82x = 16,597,381,572.51
  5. Step 5: Solve for x
    x = 16,597,381,572.51/148,805.82
  6. Step 6: Final answer
    x = 111,537.18

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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.