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Finding the Fourth Proportional to 225,678.61, 311,424.91 and 130,179.61

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Solution

The fourth proportional to 225,678.61, 311,424.91 and 130,179.61 is: 179,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,678.61 : 311,424.91 = 130,179.61 : x
  2. Step 2: Convert to fraction form
    225,678.61/311,424.91 = 130,179.61/x
  3. Step 3: Cross multiply
    225,678.61x = 311,424.91 × 130,179.61
  4. Step 4: Simplify right side
    225,678.61x = 40,541,173,328.09
  5. Step 5: Solve for x
    x = 40,541,173,328.09/225,678.61
  6. Step 6: Final answer
    x = 179,641.19

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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.