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Finding the Fourth Proportional to 78,404.80, 117,319.20 and 57,668.80

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Solution

The fourth proportional to 78,404.80, 117,319.20 and 57,668.80 is: 86,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,404.80 : 117,319.20 = 57,668.80 : x
  2. Step 2: Convert to fraction form
    78,404.80/117,319.20 = 57,668.80/x
  3. Step 3: Cross multiply
    78,404.80x = 117,319.20 × 57,668.80
  4. Step 4: Simplify right side
    78,404.80x = 6,765,657,480.96
  5. Step 5: Solve for x
    x = 6,765,657,480.96/78,404.80
  6. Step 6: Final answer
    x = 86,291.37

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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.