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Finding the Fourth Proportional to 85,873.92, 118,497.54 and 47,632.80

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Solution

The fourth proportional to 85,873.92, 118,497.54 and 47,632.80 is: 65,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,873.92 : 118,497.54 = 47,632.80 : x
  2. Step 2: Convert to fraction form
    85,873.92/118,497.54 = 47,632.80/x
  3. Step 3: Cross multiply
    85,873.92x = 118,497.54 × 47,632.80
  4. Step 4: Simplify right side
    85,873.92x = 5,644,369,623.31
  5. Step 5: Solve for x
    x = 5,644,369,623.31/85,873.92
  6. Step 6: Final answer
    x = 65,728.57

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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.