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Finding the Fourth Proportional to 81,051.84, 111,831.84 and 47,511.36

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Solution

The fourth proportional to 81,051.84, 111,831.84 and 47,511.36 is: 65,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.84 : 111,831.84 = 47,511.36 : x
  2. Step 2: Convert to fraction form
    81,051.84/111,831.84 = 47,511.36/x
  3. Step 3: Cross multiply
    81,051.84x = 111,831.84 × 47,511.36
  4. Step 4: Simplify right side
    81,051.84x = 5,313,282,809.70
  5. Step 5: Solve for x
    x = 5,313,282,809.70/81,051.84
  6. Step 6: Final answer
    x = 65,554.13

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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.