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Finding the Fourth Proportional to 257,983.99, 386,825.63 and 100,027.91

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Solution

The fourth proportional to 257,983.99, 386,825.63 and 100,027.91 is: 149,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,983.99 : 386,825.63 = 100,027.91 : x
  2. Step 2: Convert to fraction form
    257,983.99/386,825.63 = 100,027.91/x
  3. Step 3: Cross multiply
    257,983.99x = 386,825.63 × 100,027.91
  4. Step 4: Simplify right side
    257,983.99x = 38,693,359,770.26
  5. Step 5: Solve for x
    x = 38,693,359,770.26/257,983.99
  6. Step 6: Final answer
    x = 149,983.57

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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.