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Finding the Fourth Proportional to 140,161.15, 210,269.42 and 51,415.42

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Solution

The fourth proportional to 140,161.15, 210,269.42 and 51,415.42 is: 77,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,161.15 : 210,269.42 = 51,415.42 : x
  2. Step 2: Convert to fraction form
    140,161.15/210,269.42 = 51,415.42/x
  3. Step 3: Cross multiply
    140,161.15x = 210,269.42 × 51,415.42
  4. Step 4: Simplify right side
    140,161.15x = 10,811,090,542.46
  5. Step 5: Solve for x
    x = 10,811,090,542.46/140,161.15
  6. Step 6: Final answer
    x = 77,133.29

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1.5x scale

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.