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Finding the Fourth Proportional to 77,826, 107,400.32 and 44,292

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Solution

The fourth proportional to 77,826, 107,400.32 and 44,292 is: 61,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,826 : 107,400.32 = 44,292 : x
  2. Step 2: Convert to fraction form
    77,826/107,400.32 = 44,292/x
  3. Step 3: Cross multiply
    77,826x = 107,400.32 × 44,292
  4. Step 4: Simplify right side
    77,826x = 4,756,974,973.44
  5. Step 5: Solve for x
    x = 4,756,974,973.44/77,826
  6. Step 6: Final answer
    x = 61,123.21

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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.