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Finding the Fourth Proportional to 78,550.29, 117,780.80 and 53,620.52

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Solution

The fourth proportional to 78,550.29, 117,780.80 and 53,620.52 is: 80,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.29 : 117,780.80 = 53,620.52 : x
  2. Step 2: Convert to fraction form
    78,550.29/117,780.80 = 53,620.52/x
  3. Step 3: Cross multiply
    78,550.29x = 117,780.80 × 53,620.52
  4. Step 4: Simplify right side
    78,550.29x = 6,315,466,885.01
  5. Step 5: Solve for x
    x = 6,315,466,885.01/78,550.29
  6. Step 6: Final answer
    x = 80,400.30

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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.