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Finding the Fourth Proportional to 165,724, 248,618.48 and 65,865.56

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Solution

The fourth proportional to 165,724, 248,618.48 and 65,865.56 is: 98,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,724 : 248,618.48 = 65,865.56 : x
  2. Step 2: Convert to fraction form
    165,724/248,618.48 = 65,865.56/x
  3. Step 3: Cross multiply
    165,724x = 248,618.48 × 65,865.56
  4. Step 4: Simplify right side
    165,724x = 16,375,395,411.55
  5. Step 5: Solve for x
    x = 16,375,395,411.55/165,724
  6. Step 6: Final answer
    x = 98,811.25

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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.