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Finding the Fourth Proportional to 78,550.78, 117,781.54 and 53,621.01

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Solution

The fourth proportional to 78,550.78, 117,781.54 and 53,621.01 is: 80,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.78 : 117,781.54 = 53,621.01 : x
  2. Step 2: Convert to fraction form
    78,550.78/117,781.54 = 53,621.01/x
  3. Step 3: Cross multiply
    78,550.78x = 117,781.54 × 53,621.01
  4. Step 4: Simplify right side
    78,550.78x = 6,315,565,134.16
  5. Step 5: Solve for x
    x = 6,315,565,134.16/78,550.78
  6. Step 6: Final answer
    x = 80,401.05

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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.