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Finding the Fourth Proportional to 189,781.52, 261,924.54 and 109,207.40

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Solution

The fourth proportional to 189,781.52, 261,924.54 and 109,207.40 is: 150,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,781.52 : 261,924.54 = 109,207.40 : x
  2. Step 2: Convert to fraction form
    189,781.52/261,924.54 = 109,207.40/x
  3. Step 3: Cross multiply
    189,781.52x = 261,924.54 × 109,207.40
  4. Step 4: Simplify right side
    189,781.52x = 28,604,098,009.60
  5. Step 5: Solve for x
    x = 28,604,098,009.60/189,781.52
  6. Step 6: Final answer
    x = 150,721.20

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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.