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Finding the Fourth Proportional to 79,242, 109,357.20 and 45,708

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Solution

The fourth proportional to 79,242, 109,357.20 and 45,708 is: 63,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,242 : 109,357.20 = 45,708 : x
  2. Step 2: Convert to fraction form
    79,242/109,357.20 = 45,708/x
  3. Step 3: Cross multiply
    79,242x = 109,357.20 × 45,708
  4. Step 4: Simplify right side
    79,242x = 4,998,498,897.60
  5. Step 5: Solve for x
    x = 4,998,498,897.60/79,242
  6. Step 6: Final answer
    x = 63,078.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.