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Finding the Fourth Proportional to 256,053.92, 384,034.44 and 69,021.68

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Solution

The fourth proportional to 256,053.92, 384,034.44 and 69,021.68 is: 103,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053.92 : 384,034.44 = 69,021.68 : x
  2. Step 2: Convert to fraction form
    256,053.92/384,034.44 = 69,021.68/x
  3. Step 3: Cross multiply
    256,053.92x = 384,034.44 × 69,021.68
  4. Step 4: Simplify right side
    256,053.92x = 26,506,702,226.66
  5. Step 5: Solve for x
    x = 26,506,702,226.66/256,053.92
  6. Step 6: Final answer
    x = 103,520.00

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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.