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Finding the Fourth Proportional to 165,866.40, 248,857.20 and 72,439.20

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Solution

The fourth proportional to 165,866.40, 248,857.20 and 72,439.20 is: 108,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866.40 : 248,857.20 = 72,439.20 : x
  2. Step 2: Convert to fraction form
    165,866.40/248,857.20 = 72,439.20/x
  3. Step 3: Cross multiply
    165,866.40x = 248,857.20 × 72,439.20
  4. Step 4: Simplify right side
    165,866.40x = 18,027,016,482.24
  5. Step 5: Solve for x
    x = 18,027,016,482.24/165,866.40
  6. Step 6: Final answer
    x = 108,683.96

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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.