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Finding the Fourth Proportional to 73,791, 101,831.48 and 40,257

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Solution

The fourth proportional to 73,791, 101,831.48 and 40,257 is: 55,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,791 : 101,831.48 = 40,257 : x
  2. Step 2: Convert to fraction form
    73,791/101,831.48 = 40,257/x
  3. Step 3: Cross multiply
    73,791x = 101,831.48 × 40,257
  4. Step 4: Simplify right side
    73,791x = 4,099,429,890.36
  5. Step 5: Solve for x
    x = 4,099,429,890.36/73,791
  6. Step 6: Final answer
    x = 55,554.61

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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.