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Finding the Fourth Proportional to 165,285.60, 248,122.80 and 164,119.20

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Solution

The fourth proportional to 165,285.60, 248,122.80 and 164,119.20 is: 246,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,285.60 : 248,122.80 = 164,119.20 : x
  2. Step 2: Convert to fraction form
    165,285.60/248,122.80 = 164,119.20/x
  3. Step 3: Cross multiply
    165,285.60x = 248,122.80 × 164,119.20
  4. Step 4: Simplify right side
    165,285.60x = 40,721,715,437.76
  5. Step 5: Solve for x
    x = 40,721,715,437.76/165,285.60
  6. Step 6: Final answer
    x = 246,371.83

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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.