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Finding the Fourth Proportional to 92,776.17, 138,928.74 and 77,743.79

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Solution

The fourth proportional to 92,776.17, 138,928.74 and 77,743.79 is: 116,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,776.17 : 138,928.74 = 77,743.79 : x
  2. Step 2: Convert to fraction form
    92,776.17/138,928.74 = 77,743.79/x
  3. Step 3: Cross multiply
    92,776.17x = 138,928.74 × 77,743.79
  4. Step 4: Simplify right side
    92,776.17x = 10,800,846,092.88
  5. Step 5: Solve for x
    x = 10,800,846,092.88/92,776.17
  6. Step 6: Final answer
    x = 116,418.32

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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.