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Finding the Fourth Proportional to 165,905.20, 248,857.80 and 77,129.20

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Solution

The fourth proportional to 165,905.20, 248,857.80 and 77,129.20 is: 115,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,905.20 : 248,857.80 = 77,129.20 : x
  2. Step 2: Convert to fraction form
    165,905.20/248,857.80 = 77,129.20/x
  3. Step 3: Cross multiply
    165,905.20x = 248,857.80 × 77,129.20
  4. Step 4: Simplify right side
    165,905.20x = 19,194,203,027.76
  5. Step 5: Solve for x
    x = 19,194,203,027.76/165,905.20
  6. Step 6: Final answer
    x = 115,693.80

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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.