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Finding the Fourth Proportional to 189,490.71, 284,197.62 and 69,506.82

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Solution

The fourth proportional to 189,490.71, 284,197.62 and 69,506.82 is: 104,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,490.71 : 284,197.62 = 69,506.82 : x
  2. Step 2: Convert to fraction form
    189,490.71/284,197.62 = 69,506.82/x
  3. Step 3: Cross multiply
    189,490.71x = 284,197.62 × 69,506.82
  4. Step 4: Simplify right side
    189,490.71x = 19,753,672,083.63
  5. Step 5: Solve for x
    x = 19,753,672,083.63/189,490.71
  6. Step 6: Final answer
    x = 104,246.13

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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.