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Finding the Fourth Proportional to 148,363.50, 204,741.63 and 81,294.06

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Solution

The fourth proportional to 148,363.50, 204,741.63 and 81,294.06 is: 112,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,363.50 : 204,741.63 = 81,294.06 : x
  2. Step 2: Convert to fraction form
    148,363.50/204,741.63 = 81,294.06/x
  3. Step 3: Cross multiply
    148,363.50x = 204,741.63 × 81,294.06
  4. Step 4: Simplify right side
    148,363.50x = 16,644,278,353.72
  5. Step 5: Solve for x
    x = 16,644,278,353.72/148,363.50
  6. Step 6: Final answer
    x = 112,185.80

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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.