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Finding the Fourth Proportional to 103,963.34, 143,458.64 and 76,753.90

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Solution

The fourth proportional to 103,963.34, 143,458.64 and 76,753.90 is: 105,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.34 : 143,458.64 = 76,753.90 : x
  2. Step 2: Convert to fraction form
    103,963.34/143,458.64 = 76,753.90/x
  3. Step 3: Cross multiply
    103,963.34x = 143,458.64 × 76,753.90
  4. Step 4: Simplify right side
    103,963.34x = 11,011,010,108.70
  5. Step 5: Solve for x
    x = 11,011,010,108.70/103,963.34
  6. Step 6: Final answer
    x = 105,912.43

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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.