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Finding the Fourth Proportional to 61,315.78, 91,908.23 and 34,963.78

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Solution

The fourth proportional to 61,315.78, 91,908.23 and 34,963.78 is: 52,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,315.78 : 91,908.23 = 34,963.78 : x
  2. Step 2: Convert to fraction form
    61,315.78/91,908.23 = 34,963.78/x
  3. Step 3: Cross multiply
    61,315.78x = 91,908.23 × 34,963.78
  4. Step 4: Simplify right side
    61,315.78x = 3,213,459,133.91
  5. Step 5: Solve for x
    x = 3,213,459,133.91/61,315.78
  6. Step 6: Final answer
    x = 52,408.35

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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.