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Finding the Fourth Proportional to 47,129.85, 70,683.84 and 20,820.24

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Solution

The fourth proportional to 47,129.85, 70,683.84 and 20,820.24 is: 31,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129.85 : 70,683.84 = 20,820.24 : x
  2. Step 2: Convert to fraction form
    47,129.85/70,683.84 = 20,820.24/x
  3. Step 3: Cross multiply
    47,129.85x = 70,683.84 × 20,820.24
  4. Step 4: Simplify right side
    47,129.85x = 1,471,654,512.92
  5. Step 5: Solve for x
    x = 1,471,654,512.92/47,129.85
  6. Step 6: Final answer
    x = 31,225.53

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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.