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Finding the Fourth Proportional to 189,372.71, 284,058.73 and 110,431.58

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Solution

The fourth proportional to 189,372.71, 284,058.73 and 110,431.58 is: 165,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,372.71 : 284,058.73 = 110,431.58 : x
  2. Step 2: Convert to fraction form
    189,372.71/284,058.73 = 110,431.58/x
  3. Step 3: Cross multiply
    189,372.71x = 284,058.73 × 110,431.58
  4. Step 4: Simplify right side
    189,372.71x = 31,369,054,366.69
  5. Step 5: Solve for x
    x = 31,369,054,366.69/189,372.71
  6. Step 6: Final answer
    x = 165,647.17

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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.