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Finding the Fourth Proportional to 163,321.31, 225,403.36 and 102,890.95

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Solution

The fourth proportional to 163,321.31, 225,403.36 and 102,890.95 is: 142,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,321.31 : 225,403.36 = 102,890.95 : x
  2. Step 2: Convert to fraction form
    163,321.31/225,403.36 = 102,890.95/x
  3. Step 3: Cross multiply
    163,321.31x = 225,403.36 × 102,890.95
  4. Step 4: Simplify right side
    163,321.31x = 23,191,965,022.86
  5. Step 5: Solve for x
    x = 23,191,965,022.86/163,321.31
  6. Step 6: Final answer
    x = 142,002.07

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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.