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Finding the Fourth Proportional to 61,203.43, 91,731.32 and 31,605.13

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Solution

The fourth proportional to 61,203.43, 91,731.32 and 31,605.13 is: 47,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,203.43 : 91,731.32 = 31,605.13 : x
  2. Step 2: Convert to fraction form
    61,203.43/91,731.32 = 31,605.13/x
  3. Step 3: Cross multiply
    61,203.43x = 91,731.32 × 31,605.13
  4. Step 4: Simplify right side
    61,203.43x = 2,899,180,293.67
  5. Step 5: Solve for x
    x = 2,899,180,293.67/61,203.43
  6. Step 6: Final answer
    x = 47,369.57

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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.