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Finding the Fourth Proportional to 30,209.31, 41,672.05 and 28,071.10

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Solution

The fourth proportional to 30,209.31, 41,672.05 and 28,071.10 is: 38,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.31 : 41,672.05 = 28,071.10 : x
  2. Step 2: Convert to fraction form
    30,209.31/41,672.05 = 28,071.10/x
  3. Step 3: Cross multiply
    30,209.31x = 41,672.05 × 28,071.10
  4. Step 4: Simplify right side
    30,209.31x = 1,169,780,188.16
  5. Step 5: Solve for x
    x = 1,169,780,188.16/30,209.31
  6. Step 6: Final answer
    x = 38,722.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.