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Finding the Fourth Proportional to 257,789.40, 386,825.04 and 100,024.08

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Solution

The fourth proportional to 257,789.40, 386,825.04 and 100,024.08 is: 150,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,789.40 : 386,825.04 = 100,024.08 : x
  2. Step 2: Convert to fraction form
    257,789.40/386,825.04 = 100,024.08/x
  3. Step 3: Cross multiply
    257,789.40x = 386,825.04 × 100,024.08
  4. Step 4: Simplify right side
    257,789.40x = 38,691,818,746.96
  5. Step 5: Solve for x
    x = 38,691,818,746.96/257,789.40
  6. Step 6: Final answer
    x = 150,090.81

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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.