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Finding the Fourth Proportional to 165,069, 247,606.80 and 54,261

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Solution

The fourth proportional to 165,069, 247,606.80 and 54,261 is: 81,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,069 : 247,606.80 = 54,261 : x
  2. Step 2: Convert to fraction form
    165,069/247,606.80 = 54,261/x
  3. Step 3: Cross multiply
    165,069x = 247,606.80 × 54,261
  4. Step 4: Simplify right side
    165,069x = 13,435,392,574.80
  5. Step 5: Solve for x
    x = 13,435,392,574.80/165,069
  6. Step 6: Final answer
    x = 81,392.58

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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.