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Finding the Fourth Proportional to 77,228.22, 115,762.62 and 43,876.48

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Solution

The fourth proportional to 77,228.22, 115,762.62 and 43,876.48 is: 65,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,228.22 : 115,762.62 = 43,876.48 : x
  2. Step 2: Convert to fraction form
    77,228.22/115,762.62 = 43,876.48/x
  3. Step 3: Cross multiply
    77,228.22x = 115,762.62 × 43,876.48
  4. Step 4: Simplify right side
    77,228.22x = 5,079,256,281.18
  5. Step 5: Solve for x
    x = 5,079,256,281.18/77,228.22
  6. Step 6: Final answer
    x = 65,769.43

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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.