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Finding the Fourth Proportional to 221,605.64, 305,839.86 and 136,720.52

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Solution

The fourth proportional to 221,605.64, 305,839.86 and 136,720.52 is: 188,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,605.64 : 305,839.86 = 136,720.52 : x
  2. Step 2: Convert to fraction form
    221,605.64/305,839.86 = 136,720.52/x
  3. Step 3: Cross multiply
    221,605.64x = 305,839.86 × 136,720.52
  4. Step 4: Simplify right side
    221,605.64x = 41,814,584,695.93
  5. Step 5: Solve for x
    x = 41,814,584,695.93/221,605.64
  6. Step 6: Final answer
    x = 188,689.17

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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.