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Finding the Fourth Proportional to 47,254.20, 70,913.70 and 20,977.80

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Solution

The fourth proportional to 47,254.20, 70,913.70 and 20,977.80 is: 31,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.20 : 70,913.70 = 20,977.80 : x
  2. Step 2: Convert to fraction form
    47,254.20/70,913.70 = 20,977.80/x
  3. Step 3: Cross multiply
    47,254.20x = 70,913.70 × 20,977.80
  4. Step 4: Simplify right side
    47,254.20x = 1,487,613,415.86
  5. Step 5: Solve for x
    x = 1,487,613,415.86/47,254.20
  6. Step 6: Final answer
    x = 31,481.08

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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.