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Finding the Fourth Proportional to 169,487.64, 254,131.78 and 64,314

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Solution

The fourth proportional to 169,487.64, 254,131.78 and 64,314 is: 96,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,487.64 : 254,131.78 = 64,314 : x
  2. Step 2: Convert to fraction form
    169,487.64/254,131.78 = 64,314/x
  3. Step 3: Cross multiply
    169,487.64x = 254,131.78 × 64,314
  4. Step 4: Simplify right side
    169,487.64x = 16,344,231,298.92
  5. Step 5: Solve for x
    x = 16,344,231,298.92/169,487.64
  6. Step 6: Final answer
    x = 96,433.18

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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.