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Finding the Fourth Proportional to 48,487, 66,912.87 and 31,720

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Solution

The fourth proportional to 48,487, 66,912.87 and 31,720 is: 43,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,487 : 66,912.87 = 31,720 : x
  2. Step 2: Convert to fraction form
    48,487/66,912.87 = 31,720/x
  3. Step 3: Cross multiply
    48,487x = 66,912.87 × 31,720
  4. Step 4: Simplify right side
    48,487x = 2,122,476,236.40
  5. Step 5: Solve for x
    x = 2,122,476,236.40/48,487
  6. Step 6: Final answer
    x = 43,774.13

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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.