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Finding the Fourth Proportional to 105,143.78, 157,622.39 and 38,568.60

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Solution

The fourth proportional to 105,143.78, 157,622.39 and 38,568.60 is: 57,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,143.78 : 157,622.39 = 38,568.60 : x
  2. Step 2: Convert to fraction form
    105,143.78/157,622.39 = 38,568.60/x
  3. Step 3: Cross multiply
    105,143.78x = 157,622.39 × 38,568.60
  4. Step 4: Simplify right side
    105,143.78x = 6,079,274,670.56
  5. Step 5: Solve for x
    x = 6,079,274,670.56/105,143.78
  6. Step 6: Final answer
    x = 57,818.68

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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.