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Finding the Fourth Proportional to 81,578.86, 112,599.52 and 55,747.88

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Solution

The fourth proportional to 81,578.86, 112,599.52 and 55,747.88 is: 76,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578.86 : 112,599.52 = 55,747.88 : x
  2. Step 2: Convert to fraction form
    81,578.86/112,599.52 = 55,747.88/x
  3. Step 3: Cross multiply
    81,578.86x = 112,599.52 × 55,747.88
  4. Step 4: Simplify right side
    81,578.86x = 6,277,184,529.02
  5. Step 5: Solve for x
    x = 6,277,184,529.02/81,578.86
  6. Step 6: Final answer
    x = 76,946.22

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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.