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Finding the Fourth Proportional to 156,714.66, 216,260.64 and 85,093.20

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Solution

The fourth proportional to 156,714.66, 216,260.64 and 85,093.20 is: 117,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714.66 : 216,260.64 = 85,093.20 : x
  2. Step 2: Convert to fraction form
    156,714.66/216,260.64 = 85,093.20/x
  3. Step 3: Cross multiply
    156,714.66x = 216,260.64 × 85,093.20
  4. Step 4: Simplify right side
    156,714.66x = 18,402,309,891.65
  5. Step 5: Solve for x
    x = 18,402,309,891.65/156,714.66
  6. Step 6: Final answer
    x = 117,425.58

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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.