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Finding the Fourth Proportional to 179,959.70, 269,939.55 and 105,164.30

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Solution

The fourth proportional to 179,959.70, 269,939.55 and 105,164.30 is: 157,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959.70 : 269,939.55 = 105,164.30 : x
  2. Step 2: Convert to fraction form
    179,959.70/269,939.55 = 105,164.30/x
  3. Step 3: Cross multiply
    179,959.70x = 269,939.55 × 105,164.30
  4. Step 4: Simplify right side
    179,959.70x = 28,388,003,818.07
  5. Step 5: Solve for x
    x = 28,388,003,818.07/179,959.70
  6. Step 6: Final answer
    x = 157,746.45

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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.