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Finding the Fourth Proportional to 77,165.90, 115,662.45 and 43,901.90

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Solution

The fourth proportional to 77,165.90, 115,662.45 and 43,901.90 is: 65,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.90 : 115,662.45 = 43,901.90 : x
  2. Step 2: Convert to fraction form
    77,165.90/115,662.45 = 43,901.90/x
  3. Step 3: Cross multiply
    77,165.90x = 115,662.45 × 43,901.90
  4. Step 4: Simplify right side
    77,165.90x = 5,077,801,313.66
  5. Step 5: Solve for x
    x = 5,077,801,313.66/77,165.90
  6. Step 6: Final answer
    x = 65,803.69

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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.