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Finding the Fourth Proportional to 215,294.72, 322,646.83 and 136,267.88

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Solution

The fourth proportional to 215,294.72, 322,646.83 and 136,267.88 is: 204,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,294.72 : 322,646.83 = 136,267.88 : x
  2. Step 2: Convert to fraction form
    215,294.72/322,646.83 = 136,267.88/x
  3. Step 3: Cross multiply
    215,294.72x = 322,646.83 × 136,267.88
  4. Step 4: Simplify right side
    215,294.72x = 43,966,399,512.82
  5. Step 5: Solve for x
    x = 43,966,399,512.82/215,294.72
  6. Step 6: Final answer
    x = 204,214.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.