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Finding the Fourth Proportional to 165,541.20, 248,311.80 and 130,111.80

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Solution

The fourth proportional to 165,541.20, 248,311.80 and 130,111.80 is: 195,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,541.20 : 248,311.80 = 130,111.80 : x
  2. Step 2: Convert to fraction form
    165,541.20/248,311.80 = 130,111.80/x
  3. Step 3: Cross multiply
    165,541.20x = 248,311.80 × 130,111.80
  4. Step 4: Simplify right side
    165,541.20x = 32,308,295,259.24
  5. Step 5: Solve for x
    x = 32,308,295,259.24/165,541.20
  6. Step 6: Final answer
    x = 195,167.70

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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.