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Finding the Fourth Proportional to 47,251.64, 70,878 and 20,230.35

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Solution

The fourth proportional to 47,251.64, 70,878 and 20,230.35 is: 30,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.64 : 70,878 = 20,230.35 : x
  2. Step 2: Convert to fraction form
    47,251.64/70,878 = 20,230.35/x
  3. Step 3: Cross multiply
    47,251.64x = 70,878 × 20,230.35
  4. Step 4: Simplify right side
    47,251.64x = 1,433,886,747.30
  5. Step 5: Solve for x
    x = 1,433,886,747.30/47,251.64
  6. Step 6: Final answer
    x = 30,345.76

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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.