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Finding the Fourth Proportional to 189,892.98, 261,973.17 and 109,301.22

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Solution

The fourth proportional to 189,892.98, 261,973.17 and 109,301.22 is: 150,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,892.98 : 261,973.17 = 109,301.22 : x
  2. Step 2: Convert to fraction form
    189,892.98/261,973.17 = 109,301.22/x
  3. Step 3: Cross multiply
    189,892.98x = 261,973.17 × 109,301.22
  4. Step 4: Simplify right side
    189,892.98x = 28,633,987,088.27
  5. Step 5: Solve for x
    x = 28,633,987,088.27/189,892.98
  6. Step 6: Final answer
    x = 150,790.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.