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Finding the Fourth Proportional to 31,809.78, 47,640.83 and 30,702.65

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Solution

The fourth proportional to 31,809.78, 47,640.83 and 30,702.65 is: 45,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.78 : 47,640.83 = 30,702.65 : x
  2. Step 2: Convert to fraction form
    31,809.78/47,640.83 = 30,702.65/x
  3. Step 3: Cross multiply
    31,809.78x = 47,640.83 × 30,702.65
  4. Step 4: Simplify right side
    31,809.78x = 1,462,699,337.48
  5. Step 5: Solve for x
    x = 1,462,699,337.48/31,809.78
  6. Step 6: Final answer
    x = 45,982.69

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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.