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Finding the Fourth Proportional to 128,959.74, 193,351.38 and 65,657.37

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Solution

The fourth proportional to 128,959.74, 193,351.38 and 65,657.37 is: 98,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,959.74 : 193,351.38 = 65,657.37 : x
  2. Step 2: Convert to fraction form
    128,959.74/193,351.38 = 65,657.37/x
  3. Step 3: Cross multiply
    128,959.74x = 193,351.38 × 65,657.37
  4. Step 4: Simplify right side
    128,959.74x = 12,694,943,096.67
  5. Step 5: Solve for x
    x = 12,694,943,096.67/128,959.74
  6. Step 6: Final answer
    x = 98,441.13

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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.