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Finding the Fourth Proportional to 47,258.70, 70,920.45 and 20,982.30

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Solution

The fourth proportional to 47,258.70, 70,920.45 and 20,982.30 is: 31,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,258.70 : 70,920.45 = 20,982.30 : x
  2. Step 2: Convert to fraction form
    47,258.70/70,920.45 = 20,982.30/x
  3. Step 3: Cross multiply
    47,258.70x = 70,920.45 × 20,982.30
  4. Step 4: Simplify right side
    47,258.70x = 1,488,074,158.04
  5. Step 5: Solve for x
    x = 1,488,074,158.04/47,258.70
  6. Step 6: Final answer
    x = 31,487.84

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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.