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Finding the Fourth Proportional to 160,728.96, 221,806.80 and 92,748.78

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Solution

The fourth proportional to 160,728.96, 221,806.80 and 92,748.78 is: 127,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.96 : 221,806.80 = 92,748.78 : x
  2. Step 2: Convert to fraction form
    160,728.96/221,806.80 = 92,748.78/x
  3. Step 3: Cross multiply
    160,728.96x = 221,806.80 × 92,748.78
  4. Step 4: Simplify right side
    160,728.96x = 20,572,310,095.70
  5. Step 5: Solve for x
    x = 20,572,310,095.70/160,728.96
  6. Step 6: Final answer
    x = 127,993.80

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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.