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Finding the Fourth Proportional to 163,511.73, 225,553.88 and 102,978.34

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Solution

The fourth proportional to 163,511.73, 225,553.88 and 102,978.34 is: 142,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,511.73 : 225,553.88 = 102,978.34 : x
  2. Step 2: Convert to fraction form
    163,511.73/225,553.88 = 102,978.34/x
  3. Step 3: Cross multiply
    163,511.73x = 225,553.88 × 102,978.34
  4. Step 4: Simplify right side
    163,511.73x = 23,227,163,836.52
  5. Step 5: Solve for x
    x = 23,227,163,836.52/163,511.73
  6. Step 6: Final answer
    x = 142,051.97

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1.5x scale

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.