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Finding the Fourth Proportional to 172,746, 238,449.14 and 101,149.04

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Solution

The fourth proportional to 172,746, 238,449.14 and 101,149.04 is: 139,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,746 : 238,449.14 = 101,149.04 : x
  2. Step 2: Convert to fraction form
    172,746/238,449.14 = 101,149.04/x
  3. Step 3: Cross multiply
    172,746x = 238,449.14 × 101,149.04
  4. Step 4: Simplify right side
    172,746x = 24,118,901,599.83
  5. Step 5: Solve for x
    x = 24,118,901,599.83/172,746
  6. Step 6: Final answer
    x = 139,620.61

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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.