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Finding the Fourth Proportional to 48,484, 66,908.73 and 31,717

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Solution

The fourth proportional to 48,484, 66,908.73 and 31,717 is: 43,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484 : 66,908.73 = 31,717 : x
  2. Step 2: Convert to fraction form
    48,484/66,908.73 = 31,717/x
  3. Step 3: Cross multiply
    48,484x = 66,908.73 × 31,717
  4. Step 4: Simplify right side
    48,484x = 2,122,144,189.41
  5. Step 5: Solve for x
    x = 2,122,144,189.41/48,484
  6. Step 6: Final answer
    x = 43,769.99

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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.