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Finding the Fourth Proportional to 268,660.89, 402,976.76 and 81,657.81

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Solution

The fourth proportional to 268,660.89, 402,976.76 and 81,657.81 is: 122,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,660.89 : 402,976.76 = 81,657.81 : x
  2. Step 2: Convert to fraction form
    268,660.89/402,976.76 = 81,657.81/x
  3. Step 3: Cross multiply
    268,660.89x = 402,976.76 × 81,657.81
  4. Step 4: Simplify right side
    268,660.89x = 32,906,199,702.50
  5. Step 5: Solve for x
    x = 32,906,199,702.50/268,660.89
  6. Step 6: Final answer
    x = 122,482.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.