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Finding the Fourth Proportional to 81,678.51, 112,724.06 and 47,684.16

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Solution

The fourth proportional to 81,678.51, 112,724.06 and 47,684.16 is: 65,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.51 : 112,724.06 = 47,684.16 : x
  2. Step 2: Convert to fraction form
    81,678.51/112,724.06 = 47,684.16/x
  3. Step 3: Cross multiply
    81,678.51x = 112,724.06 × 47,684.16
  4. Step 4: Simplify right side
    81,678.51x = 5,375,151,874.47
  5. Step 5: Solve for x
    x = 5,375,151,874.47/81,678.51
  6. Step 6: Final answer
    x = 65,808.64

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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.