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Finding the Fourth Proportional to 169,784.70, 254,491.05 and 85,410.30

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Solution

The fourth proportional to 169,784.70, 254,491.05 and 85,410.30 is: 128,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784.70 : 254,491.05 = 85,410.30 : x
  2. Step 2: Convert to fraction form
    169,784.70/254,491.05 = 85,410.30/x
  3. Step 3: Cross multiply
    169,784.70x = 254,491.05 × 85,410.30
  4. Step 4: Simplify right side
    169,784.70x = 21,736,156,927.82
  5. Step 5: Solve for x
    x = 21,736,156,927.82/169,784.70
  6. Step 6: Final answer
    x = 128,021.88

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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.