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Finding the Fourth Proportional to 82,718.60, 114,147.78 and 46,905.80

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Solution

The fourth proportional to 82,718.60, 114,147.78 and 46,905.80 is: 64,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.60 : 114,147.78 = 46,905.80 : x
  2. Step 2: Convert to fraction form
    82,718.60/114,147.78 = 46,905.80/x
  3. Step 3: Cross multiply
    82,718.60x = 114,147.78 × 46,905.80
  4. Step 4: Simplify right side
    82,718.60x = 5,354,192,939.12
  5. Step 5: Solve for x
    x = 5,354,192,939.12/82,718.60
  6. Step 6: Final answer
    x = 64,727.80

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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.