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Finding the Fourth Proportional to 165,785.79, 248,469.30 and 70,903.20

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Solution

The fourth proportional to 165,785.79, 248,469.30 and 70,903.20 is: 106,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,785.79 : 248,469.30 = 70,903.20 : x
  2. Step 2: Convert to fraction form
    165,785.79/248,469.30 = 70,903.20/x
  3. Step 3: Cross multiply
    165,785.79x = 248,469.30 × 70,903.20
  4. Step 4: Simplify right side
    165,785.79x = 17,617,268,471.76
  5. Step 5: Solve for x
    x = 17,617,268,471.76/165,785.79
  6. Step 6: Final answer
    x = 106,265.25

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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.