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Finding the Fourth Proportional to 77,612, 107,104.70 and 44,078

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Solution

The fourth proportional to 77,612, 107,104.70 and 44,078 is: 60,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,612 : 107,104.70 = 44,078 : x
  2. Step 2: Convert to fraction form
    77,612/107,104.70 = 44,078/x
  3. Step 3: Cross multiply
    77,612x = 107,104.70 × 44,078
  4. Step 4: Simplify right side
    77,612x = 4,720,960,746.21
  5. Step 5: Solve for x
    x = 4,720,960,746.21/77,612
  6. Step 6: Final answer
    x = 60,827.72

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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.