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Finding the Fourth Proportional to 164,471.20, 246,714.90 and 85,739.20

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Solution

The fourth proportional to 164,471.20, 246,714.90 and 85,739.20 is: 128,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,471.20 : 246,714.90 = 85,739.20 : x
  2. Step 2: Convert to fraction form
    164,471.20/246,714.90 = 85,739.20/x
  3. Step 3: Cross multiply
    164,471.20x = 246,714.90 × 85,739.20
  4. Step 4: Simplify right side
    164,471.20x = 21,153,138,154.08
  5. Step 5: Solve for x
    x = 21,153,138,154.08/164,471.20
  6. Step 6: Final answer
    x = 128,613.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.