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Finding the Fourth Proportional to 165,365.86, 248,043.30 and 71,871.70

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Solution

The fourth proportional to 165,365.86, 248,043.30 and 71,871.70 is: 107,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,365.86 : 248,043.30 = 71,871.70 : x
  2. Step 2: Convert to fraction form
    165,365.86/248,043.30 = 71,871.70/x
  3. Step 3: Cross multiply
    165,365.86x = 248,043.30 × 71,871.70
  4. Step 4: Simplify right side
    165,365.86x = 17,827,293,644.61
  5. Step 5: Solve for x
    x = 17,827,293,644.61/165,365.86
  6. Step 6: Final answer
    x = 107,805.16

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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.