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Finding the Fourth Proportional to 172,710.30, 238,332.15 and 116,112.54

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Solution

The fourth proportional to 172,710.30, 238,332.15 and 116,112.54 is: 160,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,710.30 : 238,332.15 = 116,112.54 : x
  2. Step 2: Convert to fraction form
    172,710.30/238,332.15 = 116,112.54/x
  3. Step 3: Cross multiply
    172,710.30x = 238,332.15 × 116,112.54
  4. Step 4: Simplify right side
    172,710.30x = 27,673,351,300.16
  5. Step 5: Solve for x
    x = 27,673,351,300.16/172,710.30
  6. Step 6: Final answer
    x = 160,229.88

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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.