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Finding the Fourth Proportional to 109,138.77, 163,734.87 and 38,051.55

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Solution

The fourth proportional to 109,138.77, 163,734.87 and 38,051.55 is: 57,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138.77 : 163,734.87 = 38,051.55 : x
  2. Step 2: Convert to fraction form
    109,138.77/163,734.87 = 38,051.55/x
  3. Step 3: Cross multiply
    109,138.77x = 163,734.87 × 38,051.55
  4. Step 4: Simplify right side
    109,138.77x = 6,230,365,592.55
  5. Step 5: Solve for x
    x = 6,230,365,592.55/109,138.77
  6. Step 6: Final answer
    x = 57,086.64

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1.5x scale

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.