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Finding the Fourth Proportional to 45,422.66, 68,114.54 and 15,831.74

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Solution

The fourth proportional to 45,422.66, 68,114.54 and 15,831.74 is: 23,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,422.66 : 68,114.54 = 15,831.74 : x
  2. Step 2: Convert to fraction form
    45,422.66/68,114.54 = 15,831.74/x
  3. Step 3: Cross multiply
    45,422.66x = 68,114.54 × 15,831.74
  4. Step 4: Simplify right side
    45,422.66x = 1,078,371,687.50
  5. Step 5: Solve for x
    x = 1,078,371,687.50/45,422.66
  6. Step 6: Final answer
    x = 23,740.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.