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Finding the Fourth Proportional to 164,643.48, 227,218.50 and 100,972.62

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Solution

The fourth proportional to 164,643.48, 227,218.50 and 100,972.62 is: 139,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,643.48 : 227,218.50 = 100,972.62 : x
  2. Step 2: Convert to fraction form
    164,643.48/227,218.50 = 100,972.62/x
  3. Step 3: Cross multiply
    164,643.48x = 227,218.50 × 100,972.62
  4. Step 4: Simplify right side
    164,643.48x = 22,942,847,257.47
  5. Step 5: Solve for x
    x = 22,942,847,257.47/164,643.48
  6. Step 6: Final answer
    x = 139,348.65

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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.