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Finding the Fourth Proportional to 30,489.39, 45,734.08 and 20,098.71

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Solution

The fourth proportional to 30,489.39, 45,734.08 and 20,098.71 is: 30,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.39 : 45,734.08 = 20,098.71 : x
  2. Step 2: Convert to fraction form
    30,489.39/45,734.08 = 20,098.71/x
  3. Step 3: Cross multiply
    30,489.39x = 45,734.08 × 20,098.71
  4. Step 4: Simplify right side
    30,489.39x = 919,195,988.09
  5. Step 5: Solve for x
    x = 919,195,988.09/30,489.39
  6. Step 6: Final answer
    x = 30,148.06

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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.