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Finding the Fourth Proportional to 140,703.57, 210,868.75 and 74,190.77

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Solution

The fourth proportional to 140,703.57, 210,868.75 and 74,190.77 is: 111,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,703.57 : 210,868.75 = 74,190.77 : x
  2. Step 2: Convert to fraction form
    140,703.57/210,868.75 = 74,190.77/x
  3. Step 3: Cross multiply
    140,703.57x = 210,868.75 × 74,190.77
  4. Step 4: Simplify right side
    140,703.57x = 15,644,514,931.44
  5. Step 5: Solve for x
    x = 15,644,514,931.44/140,703.57
  6. Step 6: Final answer
    x = 111,187.76

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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.