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Finding the Fourth Proportional to 106,489.98, 146,963.43 and 61,777.98

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Solution

The fourth proportional to 106,489.98, 146,963.43 and 61,777.98 is: 85,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.98 : 146,963.43 = 61,777.98 : x
  2. Step 2: Convert to fraction form
    106,489.98/146,963.43 = 61,777.98/x
  3. Step 3: Cross multiply
    106,489.98x = 146,963.43 × 61,777.98
  4. Step 4: Simplify right side
    106,489.98x = 9,079,103,839.27
  5. Step 5: Solve for x
    x = 9,079,103,839.27/106,489.98
  6. Step 6: Final answer
    x = 85,257.82

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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.