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Finding the Fourth Proportional to 164,491.70, 247,029.15 and 127,142.60

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Solution

The fourth proportional to 164,491.70, 247,029.15 and 127,142.60 is: 190,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,491.70 : 247,029.15 = 127,142.60 : x
  2. Step 2: Convert to fraction form
    164,491.70/247,029.15 = 127,142.60/x
  3. Step 3: Cross multiply
    164,491.70x = 247,029.15 × 127,142.60
  4. Step 4: Simplify right side
    164,491.70x = 31,407,928,406.79
  5. Step 5: Solve for x
    x = 31,407,928,406.79/164,491.70
  6. Step 6: Final answer
    x = 190,939.29

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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.