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Finding the Fourth Proportional to 189,384.26, 284,002.56 and 70,991

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Solution

The fourth proportional to 189,384.26, 284,002.56 and 70,991 is: 106,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,384.26 : 284,002.56 = 70,991 : x
  2. Step 2: Convert to fraction form
    189,384.26/284,002.56 = 70,991/x
  3. Step 3: Cross multiply
    189,384.26x = 284,002.56 × 70,991
  4. Step 4: Simplify right side
    189,384.26x = 20,161,625,736.96
  5. Step 5: Solve for x
    x = 20,161,625,736.96/189,384.26
  6. Step 6: Final answer
    x = 106,458.82

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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.