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Finding the Fourth Proportional to 87,538, 120,802.44 and 47,794

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Solution

The fourth proportional to 87,538, 120,802.44 and 47,794 is: 65,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 120,802.44 = 47,794 : x
  2. Step 2: Convert to fraction form
    87,538/120,802.44 = 47,794/x
  3. Step 3: Cross multiply
    87,538x = 120,802.44 × 47,794
  4. Step 4: Simplify right side
    87,538x = 5,773,631,817.36
  5. Step 5: Solve for x
    x = 5,773,631,817.36/87,538
  6. Step 6: Final answer
    x = 65,955.72

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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.