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Finding the Fourth Proportional to 78,704.82, 118,060.11 and 31,956.66

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Solution

The fourth proportional to 78,704.82, 118,060.11 and 31,956.66 is: 47,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,704.82 : 118,060.11 = 31,956.66 : x
  2. Step 2: Convert to fraction form
    78,704.82/118,060.11 = 31,956.66/x
  3. Step 3: Cross multiply
    78,704.82x = 118,060.11 × 31,956.66
  4. Step 4: Simplify right side
    78,704.82x = 3,772,806,794.83
  5. Step 5: Solve for x
    x = 3,772,806,794.83/78,704.82
  6. Step 6: Final answer
    x = 47,936.16

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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.