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Finding the Fourth Proportional to 109,871.10, 164,806.65 and 104,427.90

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Solution

The fourth proportional to 109,871.10, 164,806.65 and 104,427.90 is: 156,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.10 : 164,806.65 = 104,427.90 : x
  2. Step 2: Convert to fraction form
    109,871.10/164,806.65 = 104,427.90/x
  3. Step 3: Cross multiply
    109,871.10x = 164,806.65 × 104,427.90
  4. Step 4: Simplify right side
    109,871.10x = 17,210,412,365.54
  5. Step 5: Solve for x
    x = 17,210,412,365.54/109,871.10
  6. Step 6: Final answer
    x = 156,641.85

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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.