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Finding the Fourth Proportional to 109,163.31, 150,644.72 and 61,416.92

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Solution

The fourth proportional to 109,163.31, 150,644.72 and 61,416.92 is: 84,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,163.31 : 150,644.72 = 61,416.92 : x
  2. Step 2: Convert to fraction form
    109,163.31/150,644.72 = 61,416.92/x
  3. Step 3: Cross multiply
    109,163.31x = 150,644.72 × 61,416.92
  4. Step 4: Simplify right side
    109,163.31x = 9,252,133,656.35
  5. Step 5: Solve for x
    x = 9,252,133,656.35/109,163.31
  6. Step 6: Final answer
    x = 84,754.98

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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.