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Finding the Fourth Proportional to 68,671.76, 102,831.60 and 57,551

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Solution

The fourth proportional to 68,671.76, 102,831.60 and 57,551 is: 86,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,671.76 : 102,831.60 = 57,551 : x
  2. Step 2: Convert to fraction form
    68,671.76/102,831.60 = 57,551/x
  3. Step 3: Cross multiply
    68,671.76x = 102,831.60 × 57,551
  4. Step 4: Simplify right side
    68,671.76x = 5,918,061,411.60
  5. Step 5: Solve for x
    x = 5,918,061,411.60/68,671.76
  6. Step 6: Final answer
    x = 86,178.97

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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.