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Finding the Fourth Proportional to 109,200.60, 163,800.81 and 30,314.79

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Solution

The fourth proportional to 109,200.60, 163,800.81 and 30,314.79 is: 45,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,200.60 : 163,800.81 = 30,314.79 : x
  2. Step 2: Convert to fraction form
    109,200.60/163,800.81 = 30,314.79/x
  3. Step 3: Cross multiply
    109,200.60x = 163,800.81 × 30,314.79
  4. Step 4: Simplify right side
    109,200.60x = 4,965,587,156.98
  5. Step 5: Solve for x
    x = 4,965,587,156.98/109,200.60
  6. Step 6: Final answer
    x = 45,472.16

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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.