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Finding the Fourth Proportional to 165,802.80, 248,704.20 and 115,939.20

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Solution

The fourth proportional to 165,802.80, 248,704.20 and 115,939.20 is: 173,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,802.80 : 248,704.20 = 115,939.20 : x
  2. Step 2: Convert to fraction form
    165,802.80/248,704.20 = 115,939.20/x
  3. Step 3: Cross multiply
    165,802.80x = 248,704.20 × 115,939.20
  4. Step 4: Simplify right side
    165,802.80x = 28,834,565,984.64
  5. Step 5: Solve for x
    x = 28,834,565,984.64/165,802.80
  6. Step 6: Final answer
    x = 173,908.80

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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.