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Finding the Fourth Proportional to 257,893.74, 386,822.32 and 68,349.90

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Solution

The fourth proportional to 257,893.74, 386,822.32 and 68,349.90 is: 102,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,893.74 : 386,822.32 = 68,349.90 : x
  2. Step 2: Convert to fraction form
    257,893.74/386,822.32 = 68,349.90/x
  3. Step 3: Cross multiply
    257,893.74x = 386,822.32 × 68,349.90
  4. Step 4: Simplify right side
    257,893.74x = 26,439,266,889.77
  5. Step 5: Solve for x
    x = 26,439,266,889.77/257,893.74
  6. Step 6: Final answer
    x = 102,520.00

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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.