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Finding the Fourth Proportional to 61,108.29, 91,537.70 and 31,463.91

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Solution

The fourth proportional to 61,108.29, 91,537.70 and 31,463.91 is: 47,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,108.29 : 91,537.70 = 31,463.91 : x
  2. Step 2: Convert to fraction form
    61,108.29/91,537.70 = 31,463.91/x
  3. Step 3: Cross multiply
    61,108.29x = 91,537.70 × 31,463.91
  4. Step 4: Simplify right side
    61,108.29x = 2,880,133,797.09
  5. Step 5: Solve for x
    x = 2,880,133,797.09/61,108.29
  6. Step 6: Final answer
    x = 47,131.64

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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.