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Finding the Fourth Proportional to 165,509.88, 247,939.16 and 109,177.89

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Solution

The fourth proportional to 165,509.88, 247,939.16 and 109,177.89 is: 163,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,509.88 : 247,939.16 = 109,177.89 : x
  2. Step 2: Convert to fraction form
    165,509.88/247,939.16 = 109,177.89/x
  3. Step 3: Cross multiply
    165,509.88x = 247,939.16 × 109,177.89
  4. Step 4: Simplify right side
    165,509.88x = 27,069,474,284.90
  5. Step 5: Solve for x
    x = 27,069,474,284.90/165,509.88
  6. Step 6: Final answer
    x = 163,552.01

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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.