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Finding the Fourth Proportional to 172,821.68, 238,498.88 and 101,194.96

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Solution

The fourth proportional to 172,821.68, 238,498.88 and 101,194.96 is: 139,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821.68 : 238,498.88 = 101,194.96 : x
  2. Step 2: Convert to fraction form
    172,821.68/238,498.88 = 101,194.96/x
  3. Step 3: Cross multiply
    172,821.68x = 238,498.88 × 101,194.96
  4. Step 4: Simplify right side
    172,821.68x = 24,134,884,621.64
  5. Step 5: Solve for x
    x = 24,134,884,621.64/172,821.68
  6. Step 6: Final answer
    x = 139,651.95

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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.