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Finding the Fourth Proportional to 189,909.16, 284,721.89 and 115,011.09

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Solution

The fourth proportional to 189,909.16, 284,721.89 and 115,011.09 is: 172,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,909.16 : 284,721.89 = 115,011.09 : x
  2. Step 2: Convert to fraction form
    189,909.16/284,721.89 = 115,011.09/x
  3. Step 3: Cross multiply
    189,909.16x = 284,721.89 × 115,011.09
  4. Step 4: Simplify right side
    189,909.16x = 32,746,174,340.70
  5. Step 5: Solve for x
    x = 32,746,174,340.70/189,909.16
  6. Step 6: Final answer
    x = 172,430.73

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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.