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Finding the Fourth Proportional to 172,838.34, 238,467.24 and 112,497.78

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Solution

The fourth proportional to 172,838.34, 238,467.24 and 112,497.78 is: 155,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.34 : 238,467.24 = 112,497.78 : x
  2. Step 2: Convert to fraction form
    172,838.34/238,467.24 = 112,497.78/x
  3. Step 3: Cross multiply
    172,838.34x = 238,467.24 × 112,497.78
  4. Step 4: Simplify right side
    172,838.34x = 26,827,035,102.73
  5. Step 5: Solve for x
    x = 26,827,035,102.73/172,838.34
  6. Step 6: Final answer
    x = 155,214.61

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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.