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Finding the Fourth Proportional to 149,264.88, 205,944.72 and 103,891.92

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Solution

The fourth proportional to 149,264.88, 205,944.72 and 103,891.92 is: 143,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,264.88 : 205,944.72 = 103,891.92 : x
  2. Step 2: Convert to fraction form
    149,264.88/205,944.72 = 103,891.92/x
  3. Step 3: Cross multiply
    149,264.88x = 205,944.72 × 103,891.92
  4. Step 4: Simplify right side
    149,264.88x = 21,395,992,374.66
  5. Step 5: Solve for x
    x = 21,395,992,374.66/149,264.88
  6. Step 6: Final answer
    x = 143,342.44

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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.