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Finding the Fourth Proportional to 47,311.64, 70,978.86 and 17,729.74

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Solution

The fourth proportional to 47,311.64, 70,978.86 and 17,729.74 is: 26,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.64 : 70,978.86 = 17,729.74 : x
  2. Step 2: Convert to fraction form
    47,311.64/70,978.86 = 17,729.74/x
  3. Step 3: Cross multiply
    47,311.64x = 70,978.86 × 17,729.74
  4. Step 4: Simplify right side
    47,311.64x = 1,258,436,378.40
  5. Step 5: Solve for x
    x = 1,258,436,378.40/47,311.64
  6. Step 6: Final answer
    x = 26,598.87

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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.