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Finding the Fourth Proportional to 77,107.52, 115,723.02 and 74,647.20

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Solution

The fourth proportional to 77,107.52, 115,723.02 and 74,647.20 is: 112,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,107.52 : 115,723.02 = 74,647.20 : x
  2. Step 2: Convert to fraction form
    77,107.52/115,723.02 = 74,647.20/x
  3. Step 3: Cross multiply
    77,107.52x = 115,723.02 × 74,647.20
  4. Step 4: Simplify right side
    77,107.52x = 8,638,399,418.54
  5. Step 5: Solve for x
    x = 8,638,399,418.54/77,107.52
  6. Step 6: Final answer
    x = 112,030.57

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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.