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Finding the Fourth Proportional to 221,262.60, 305,369.82 and 135,203.88

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Solution

The fourth proportional to 221,262.60, 305,369.82 and 135,203.88 is: 186,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,262.60 : 305,369.82 = 135,203.88 : x
  2. Step 2: Convert to fraction form
    221,262.60/305,369.82 = 135,203.88/x
  3. Step 3: Cross multiply
    221,262.60x = 305,369.82 × 135,203.88
  4. Step 4: Simplify right side
    221,262.60x = 41,287,184,498.90
  5. Step 5: Solve for x
    x = 41,287,184,498.90/221,262.60
  6. Step 6: Final answer
    x = 186,598.12

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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.