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Finding the Fourth Proportional to 102,155.44, 140,975.76 and 57,443.44

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Solution

The fourth proportional to 102,155.44, 140,975.76 and 57,443.44 is: 79,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.44 : 140,975.76 = 57,443.44 : x
  2. Step 2: Convert to fraction form
    102,155.44/140,975.76 = 57,443.44/x
  3. Step 3: Cross multiply
    102,155.44x = 140,975.76 × 57,443.44
  4. Step 4: Simplify right side
    102,155.44x = 8,098,132,611.01
  5. Step 5: Solve for x
    x = 8,098,132,611.01/102,155.44
  6. Step 6: Final answer
    x = 79,272.65

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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.