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Finding the Fourth Proportional to 257,665.52, 386,608.44 and 133,094.00

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Solution

The fourth proportional to 257,665.52, 386,608.44 and 133,094.00 is: 199,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,665.52 : 386,608.44 = 133,094.00 : x
  2. Step 2: Convert to fraction form
    257,665.52/386,608.44 = 133,094.00/x
  3. Step 3: Cross multiply
    257,665.52x = 386,608.44 × 133,094.00
  4. Step 4: Simplify right side
    257,665.52x = 51,455,265,178.98
  5. Step 5: Solve for x
    x = 51,455,265,178.98/257,665.52
  6. Step 6: Final answer
    x = 199,697.91

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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.