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Finding the Fourth Proportional to 51,874.67, 71,586.08 and 31,730.07

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Solution

The fourth proportional to 51,874.67, 71,586.08 and 31,730.07 is: 43,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.67 : 71,586.08 = 31,730.07 : x
  2. Step 2: Convert to fraction form
    51,874.67/71,586.08 = 31,730.07/x
  3. Step 3: Cross multiply
    51,874.67x = 71,586.08 × 31,730.07
  4. Step 4: Simplify right side
    51,874.67x = 2,271,431,565.83
  5. Step 5: Solve for x
    x = 2,271,431,565.83/51,874.67
  6. Step 6: Final answer
    x = 43,786.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.