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Finding the Fourth Proportional to 256,131.31, 383,873.97 and 129,803.30

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Solution

The fourth proportional to 256,131.31, 383,873.97 and 129,803.30 is: 194,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,131.31 : 383,873.97 = 129,803.30 : x
  2. Step 2: Convert to fraction form
    256,131.31/383,873.97 = 129,803.30/x
  3. Step 3: Cross multiply
    256,131.31x = 383,873.97 × 129,803.30
  4. Step 4: Simplify right side
    256,131.31x = 49,828,108,090.10
  5. Step 5: Solve for x
    x = 49,828,108,090.10/256,131.31
  6. Step 6: Final answer
    x = 194,541.26

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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.