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Finding the Fourth Proportional to 227,203.90, 313,564.71 and 136,589.20

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Solution

The fourth proportional to 227,203.90, 313,564.71 and 136,589.20 is: 188,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,203.90 : 313,564.71 = 136,589.20 : x
  2. Step 2: Convert to fraction form
    227,203.90/313,564.71 = 136,589.20/x
  3. Step 3: Cross multiply
    227,203.90x = 313,564.71 × 136,589.20
  4. Step 4: Simplify right side
    227,203.90x = 42,829,552,887.13
  5. Step 5: Solve for x
    x = 42,829,552,887.13/227,203.90
  6. Step 6: Final answer
    x = 188,507.12

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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.