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Finding the Fourth Proportional to 148,404, 204,810.48 and 81,348.96

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Solution

The fourth proportional to 148,404, 204,810.48 and 81,348.96 is: 112,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,404 : 204,810.48 = 81,348.96 : x
  2. Step 2: Convert to fraction form
    148,404/204,810.48 = 81,348.96/x
  3. Step 3: Cross multiply
    148,404x = 204,810.48 × 81,348.96
  4. Step 4: Simplify right side
    148,404x = 16,661,119,545.10
  5. Step 5: Solve for x
    x = 16,661,119,545.10/148,404
  6. Step 6: Final answer
    x = 112,268.67

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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.