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Finding the Fourth Proportional to 171,442.31, 236,706 and 107,009.70

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Solution

The fourth proportional to 171,442.31, 236,706 and 107,009.70 is: 147,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,442.31 : 236,706 = 107,009.70 : x
  2. Step 2: Convert to fraction form
    171,442.31/236,706 = 107,009.70/x
  3. Step 3: Cross multiply
    171,442.31x = 236,706 × 107,009.70
  4. Step 4: Simplify right side
    171,442.31x = 25,329,838,048.20
  5. Step 5: Solve for x
    x = 25,329,838,048.20/171,442.31
  6. Step 6: Final answer
    x = 147,745.55

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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.