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Finding the Fourth Proportional to 99,963.10, 149,701.65 and 53,112.70

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Solution

The fourth proportional to 99,963.10, 149,701.65 and 53,112.70 is: 79,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,963.10 : 149,701.65 = 53,112.70 : x
  2. Step 2: Convert to fraction form
    99,963.10/149,701.65 = 53,112.70/x
  3. Step 3: Cross multiply
    99,963.10x = 149,701.65 × 53,112.70
  4. Step 4: Simplify right side
    99,963.10x = 7,951,058,825.96
  5. Step 5: Solve for x
    x = 7,951,058,825.96/99,963.10
  6. Step 6: Final answer
    x = 79,539.94

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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.