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Finding the Fourth Proportional to 99,889.15, 149,833.32 and 47,335.54

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Solution

The fourth proportional to 99,889.15, 149,833.32 and 47,335.54 is: 71,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.15 : 149,833.32 = 47,335.54 : x
  2. Step 2: Convert to fraction form
    99,889.15/149,833.32 = 47,335.54/x
  3. Step 3: Cross multiply
    99,889.15x = 149,833.32 × 47,335.54
  4. Step 4: Simplify right side
    99,889.15x = 7,092,441,112.19
  5. Step 5: Solve for x
    x = 7,092,441,112.19/99,889.15
  6. Step 6: Final answer
    x = 71,003.12

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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.