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Finding the Fourth Proportional to 221,963.16, 306,293.22 and 137,081.64

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Solution

The fourth proportional to 221,963.16, 306,293.22 and 137,081.64 is: 189,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,963.16 : 306,293.22 = 137,081.64 : x
  2. Step 2: Convert to fraction form
    221,963.16/306,293.22 = 137,081.64/x
  3. Step 3: Cross multiply
    221,963.16x = 306,293.22 × 137,081.64
  4. Step 4: Simplify right side
    221,963.16x = 41,987,176,918.48
  5. Step 5: Solve for x
    x = 41,987,176,918.48/221,963.16
  6. Step 6: Final answer
    x = 189,162.82

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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.