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Finding the Fourth Proportional to 109,202.54, 163,824.48 and 42,638.46

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Solution

The fourth proportional to 109,202.54, 163,824.48 and 42,638.46 is: 63,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,202.54 : 163,824.48 = 42,638.46 : x
  2. Step 2: Convert to fraction form
    109,202.54/163,824.48 = 42,638.46/x
  3. Step 3: Cross multiply
    109,202.54x = 163,824.48 × 42,638.46
  4. Step 4: Simplify right side
    109,202.54x = 6,985,222,718.38
  5. Step 5: Solve for x
    x = 6,985,222,718.38/109,202.54
  6. Step 6: Final answer
    x = 63,965.76

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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.