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Finding the Fourth Proportional to 81,416.93, 112,356.53 and 47,424.54

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Solution

The fourth proportional to 81,416.93, 112,356.53 and 47,424.54 is: 65,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416.93 : 112,356.53 = 47,424.54 : x
  2. Step 2: Convert to fraction form
    81,416.93/112,356.53 = 47,424.54/x
  3. Step 3: Cross multiply
    81,416.93x = 112,356.53 × 47,424.54
  4. Step 4: Simplify right side
    81,416.93x = 5,328,456,514.12
  5. Step 5: Solve for x
    x = 5,328,456,514.12/81,416.93
  6. Step 6: Final answer
    x = 65,446.55

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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.