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Finding the Fourth Proportional to 109,200.29, 163,800.50 and 30,314.52

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Solution

The fourth proportional to 109,200.29, 163,800.50 and 30,314.52 is: 45,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,200.29 : 163,800.50 = 30,314.52 : x
  2. Step 2: Convert to fraction form
    109,200.29/163,800.50 = 30,314.52/x
  3. Step 3: Cross multiply
    109,200.29x = 163,800.50 × 30,314.52
  4. Step 4: Simplify right side
    109,200.29x = 4,965,533,381.69
  5. Step 5: Solve for x
    x = 4,965,533,381.69/109,200.29
  6. Step 6: Final answer
    x = 45,471.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.