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Finding the Fourth Proportional to 119,767, 179,649.78 and 31,020.28

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Solution

The fourth proportional to 119,767, 179,649.78 and 31,020.28 is: 46,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,767 : 179,649.78 = 31,020.28 : x
  2. Step 2: Convert to fraction form
    119,767/179,649.78 = 31,020.28/x
  3. Step 3: Cross multiply
    119,767x = 179,649.78 × 31,020.28
  4. Step 4: Simplify right side
    119,767x = 5,572,786,477.54
  5. Step 5: Solve for x
    x = 5,572,786,477.54/119,767
  6. Step 6: Final answer
    x = 46,530.23

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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.