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Finding the Fourth Proportional to 257,393.56, 386,098.47 and 88,923.48

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Solution

The fourth proportional to 257,393.56, 386,098.47 and 88,923.48 is: 133,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,393.56 : 386,098.47 = 88,923.48 : x
  2. Step 2: Convert to fraction form
    257,393.56/386,098.47 = 88,923.48/x
  3. Step 3: Cross multiply
    257,393.56x = 386,098.47 × 88,923.48
  4. Step 4: Simplify right side
    257,393.56x = 34,333,219,575.08
  5. Step 5: Solve for x
    x = 34,333,219,575.08/257,393.56
  6. Step 6: Final answer
    x = 133,388.03

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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.