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Finding the Fourth Proportional to 192,889, 289,490.46 and 99,421.48

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Solution

The fourth proportional to 192,889, 289,490.46 and 99,421.48 is: 149,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,889 : 289,490.46 = 99,421.48 : x
  2. Step 2: Convert to fraction form
    192,889/289,490.46 = 99,421.48/x
  3. Step 3: Cross multiply
    192,889x = 289,490.46 × 99,421.48
  4. Step 4: Simplify right side
    192,889x = 28,781,569,979.08
  5. Step 5: Solve for x
    x = 28,781,569,979.08/192,889
  6. Step 6: Final answer
    x = 149,213.12

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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.