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Finding the Fourth Proportional to 78,704.32, 118,059.36 and 31,956.16

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Solution

The fourth proportional to 78,704.32, 118,059.36 and 31,956.16 is: 47,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,704.32 : 118,059.36 = 31,956.16 : x
  2. Step 2: Convert to fraction form
    78,704.32/118,059.36 = 31,956.16/x
  3. Step 3: Cross multiply
    78,704.32x = 118,059.36 × 31,956.16
  4. Step 4: Simplify right side
    78,704.32x = 3,772,723,797.66
  5. Step 5: Solve for x
    x = 3,772,723,797.66/78,704.32
  6. Step 6: Final answer
    x = 47,935.41

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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.