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Finding the Fourth Proportional to 165,909.51, 248,836.92 and 71,155.00

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Solution

The fourth proportional to 165,909.51, 248,836.92 and 71,155.00 is: 106,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909.51 : 248,836.92 = 71,155.00 : x
  2. Step 2: Convert to fraction form
    165,909.51/248,836.92 = 71,155.00/x
  3. Step 3: Cross multiply
    165,909.51x = 248,836.92 × 71,155.00
  4. Step 4: Simplify right side
    165,909.51x = 17,705,990,598.40
  5. Step 5: Solve for x
    x = 17,705,990,598.40/165,909.51
  6. Step 6: Final answer
    x = 106,720.77

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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.