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Finding the Fourth Proportional to 280,128.54, 420,192.54 and 102,649.44

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Solution

The fourth proportional to 280,128.54, 420,192.54 and 102,649.44 is: 153,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,128.54 : 420,192.54 = 102,649.44 : x
  2. Step 2: Convert to fraction form
    280,128.54/420,192.54 = 102,649.44/x
  3. Step 3: Cross multiply
    280,128.54x = 420,192.54 × 102,649.44
  4. Step 4: Simplify right side
    280,128.54x = 43,132,528,923.18
  5. Step 5: Solve for x
    x = 43,132,528,923.18/280,128.54
  6. Step 6: Final answer
    x = 153,974.06

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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.