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Finding the Fourth Proportional to 200,642.64, 276,889.92 and 120,073.68

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Solution

The fourth proportional to 200,642.64, 276,889.92 and 120,073.68 is: 165,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.64 : 276,889.92 = 120,073.68 : x
  2. Step 2: Convert to fraction form
    200,642.64/276,889.92 = 120,073.68/x
  3. Step 3: Cross multiply
    200,642.64x = 276,889.92 × 120,073.68
  4. Step 4: Simplify right side
    200,642.64x = 33,247,191,649.31
  5. Step 5: Solve for x
    x = 33,247,191,649.31/200,642.64
  6. Step 6: Final answer
    x = 165,703.52

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1.5x scale

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.