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Finding the Fourth Proportional to 81,404.94, 112,328.94 and 47,418.96

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Solution

The fourth proportional to 81,404.94, 112,328.94 and 47,418.96 is: 65,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,404.94 : 112,328.94 = 47,418.96 : x
  2. Step 2: Convert to fraction form
    81,404.94/112,328.94 = 47,418.96/x
  3. Step 3: Cross multiply
    81,404.94x = 112,328.94 × 47,418.96
  4. Step 4: Simplify right side
    81,404.94x = 5,326,521,512.70
  5. Step 5: Solve for x
    x = 5,326,521,512.70/81,404.94
  6. Step 6: Final answer
    x = 65,432.41

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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.