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Finding the Fourth Proportional to 77,062.60, 115,593.90 and 20,902.60

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Solution

The fourth proportional to 77,062.60, 115,593.90 and 20,902.60 is: 31,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.60 : 115,593.90 = 20,902.60 : x
  2. Step 2: Convert to fraction form
    77,062.60/115,593.90 = 20,902.60/x
  3. Step 3: Cross multiply
    77,062.60x = 115,593.90 × 20,902.60
  4. Step 4: Simplify right side
    77,062.60x = 2,416,213,054.14
  5. Step 5: Solve for x
    x = 2,416,213,054.14/77,062.60
  6. Step 6: Final answer
    x = 31,353.90

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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.