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Finding the Fourth Proportional to 185,537.82, 256,282.47 and 137,238

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Solution

The fourth proportional to 185,537.82, 256,282.47 and 137,238 is: 189,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,537.82 : 256,282.47 = 137,238 : x
  2. Step 2: Convert to fraction form
    185,537.82/256,282.47 = 137,238/x
  3. Step 3: Cross multiply
    185,537.82x = 256,282.47 × 137,238
  4. Step 4: Simplify right side
    185,537.82x = 35,171,693,617.86
  5. Step 5: Solve for x
    x = 35,171,693,617.86/185,537.82
  6. Step 6: Final answer
    x = 189,566.17

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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.