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Finding the Fourth Proportional to 77,165.60, 115,942.80 and 49,099.10

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Solution

The fourth proportional to 77,165.60, 115,942.80 and 49,099.10 is: 73,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.60 : 115,942.80 = 49,099.10 : x
  2. Step 2: Convert to fraction form
    77,165.60/115,942.80 = 49,099.10/x
  3. Step 3: Cross multiply
    77,165.60x = 115,942.80 × 49,099.10
  4. Step 4: Simplify right side
    77,165.60x = 5,692,687,131.48
  5. Step 5: Solve for x
    x = 5,692,687,131.48/77,165.60
  6. Step 6: Final answer
    x = 73,772.34

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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.