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Finding the Fourth Proportional to 110,985.66, 166,405.32 and 39,872.66

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Solution

The fourth proportional to 110,985.66, 166,405.32 and 39,872.66 is: 59,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,985.66 : 166,405.32 = 39,872.66 : x
  2. Step 2: Convert to fraction form
    110,985.66/166,405.32 = 39,872.66/x
  3. Step 3: Cross multiply
    110,985.66x = 166,405.32 × 39,872.66
  4. Step 4: Simplify right side
    110,985.66x = 6,635,021,914.52
  5. Step 5: Solve for x
    x = 6,635,021,914.52/110,985.66
  6. Step 6: Final answer
    x = 59,782.70

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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.