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Finding the Fourth Proportional to 142,384.76, 213,965.13 and 75,872.42

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Solution

The fourth proportional to 142,384.76, 213,965.13 and 75,872.42 is: 114,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,384.76 : 213,965.13 = 75,872.42 : x
  2. Step 2: Convert to fraction form
    142,384.76/213,965.13 = 75,872.42/x
  3. Step 3: Cross multiply
    142,384.76x = 213,965.13 × 75,872.42
  4. Step 4: Simplify right side
    142,384.76x = 16,234,052,208.71
  5. Step 5: Solve for x
    x = 16,234,052,208.71/142,384.76
  6. Step 6: Final answer
    x = 114,015.38

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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.