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Finding the Fourth Proportional to 165,830.70, 248,697.45 and 77,062.80

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Solution

The fourth proportional to 165,830.70, 248,697.45 and 77,062.80 is: 115,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,830.70 : 248,697.45 = 77,062.80 : x
  2. Step 2: Convert to fraction form
    165,830.70/248,697.45 = 77,062.80/x
  3. Step 3: Cross multiply
    165,830.70x = 248,697.45 × 77,062.80
  4. Step 4: Simplify right side
    165,830.70x = 19,165,321,849.86
  5. Step 5: Solve for x
    x = 19,165,321,849.86/165,830.70
  6. Step 6: Final answer
    x = 115,571.62

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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.