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Finding the Fourth Proportional to 78,549.78, 117,780.04 and 53,620.01

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Solution

The fourth proportional to 78,549.78, 117,780.04 and 53,620.01 is: 80,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.78 : 117,780.04 = 53,620.01 : x
  2. Step 2: Convert to fraction form
    78,549.78/117,780.04 = 53,620.01/x
  3. Step 3: Cross multiply
    78,549.78x = 117,780.04 × 53,620.01
  4. Step 4: Simplify right side
    78,549.78x = 6,315,366,922.60
  5. Step 5: Solve for x
    x = 6,315,366,922.60/78,549.78
  6. Step 6: Final answer
    x = 80,399.55

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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.