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Finding the Fourth Proportional to 164,643.67, 227,218.76 and 100,972.81

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Solution

The fourth proportional to 164,643.67, 227,218.76 and 100,972.81 is: 139,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,643.67 : 227,218.76 = 100,972.81 : x
  2. Step 2: Convert to fraction form
    164,643.67/227,218.76 = 100,972.81/x
  3. Step 3: Cross multiply
    164,643.67x = 227,218.76 × 100,972.81
  4. Step 4: Simplify right side
    164,643.67x = 22,942,915,987.65
  5. Step 5: Solve for x
    x = 22,942,915,987.65/164,643.67
  6. Step 6: Final answer
    x = 139,348.91

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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.