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Finding the Fourth Proportional to 77,960.72, 107,589.48 and 44,426

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Solution

The fourth proportional to 77,960.72, 107,589.48 and 44,426 is: 61,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,960.72 : 107,589.48 = 44,426 : x
  2. Step 2: Convert to fraction form
    77,960.72/107,589.48 = 44,426/x
  3. Step 3: Cross multiply
    77,960.72x = 107,589.48 × 44,426
  4. Step 4: Simplify right side
    77,960.72x = 4,779,770,238.48
  5. Step 5: Solve for x
    x = 4,779,770,238.48/77,960.72
  6. Step 6: Final answer
    x = 61,309.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.