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Finding the Fourth Proportional to 192,867.32, 289,096.86 and 87,760.10

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Solution

The fourth proportional to 192,867.32, 289,096.86 and 87,760.10 is: 131,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,867.32 : 289,096.86 = 87,760.10 : x
  2. Step 2: Convert to fraction form
    192,867.32/289,096.86 = 87,760.10/x
  3. Step 3: Cross multiply
    192,867.32x = 289,096.86 × 87,760.10
  4. Step 4: Simplify right side
    192,867.32x = 25,371,169,343.29
  5. Step 5: Solve for x
    x = 25,371,169,343.29/192,867.32
  6. Step 6: Final answer
    x = 131,547.27

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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.