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Finding the Fourth Proportional to 256,096.98, 353,429.19 and 142,927.02

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Solution

The fourth proportional to 256,096.98, 353,429.19 and 142,927.02 is: 197,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,096.98 : 353,429.19 = 142,927.02 : x
  2. Step 2: Convert to fraction form
    256,096.98/353,429.19 = 142,927.02/x
  3. Step 3: Cross multiply
    256,096.98x = 353,429.19 × 142,927.02
  4. Step 4: Simplify right side
    256,096.98x = 50,514,580,907.71
  5. Step 5: Solve for x
    x = 50,514,580,907.71/256,096.98
  6. Step 6: Final answer
    x = 197,247.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.