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Finding the Fourth Proportional to 101,942.69, 140,680.91 and 57,230.69

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Solution

The fourth proportional to 101,942.69, 140,680.91 and 57,230.69 is: 78,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942.69 : 140,680.91 = 57,230.69 : x
  2. Step 2: Convert to fraction form
    101,942.69/140,680.91 = 57,230.69/x
  3. Step 3: Cross multiply
    101,942.69x = 140,680.91 × 57,230.69
  4. Step 4: Simplify right side
    101,942.69x = 8,051,265,340.50
  5. Step 5: Solve for x
    x = 8,051,265,340.50/101,942.69
  6. Step 6: Final answer
    x = 78,978.35

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1.5x scale

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.