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Finding the Fourth Proportional to 61,422.74, 91,963.02 and 31,371.90

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Solution

The fourth proportional to 61,422.74, 91,963.02 and 31,371.90 is: 46,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422.74 : 91,963.02 = 31,371.90 : x
  2. Step 2: Convert to fraction form
    61,422.74/91,963.02 = 31,371.90/x
  3. Step 3: Cross multiply
    61,422.74x = 91,963.02 × 31,371.90
  4. Step 4: Simplify right side
    61,422.74x = 2,885,054,667.14
  5. Step 5: Solve for x
    x = 2,885,054,667.14/61,422.74
  6. Step 6: Final answer
    x = 46,970.47

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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.