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Finding the Fourth Proportional to 257,978.16, 386,817.78 and 100,021.68

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Solution

The fourth proportional to 257,978.16, 386,817.78 and 100,021.68 is: 149,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,978.16 : 386,817.78 = 100,021.68 : x
  2. Step 2: Convert to fraction form
    257,978.16/386,817.78 = 100,021.68/x
  3. Step 3: Cross multiply
    257,978.16x = 386,817.78 × 100,021.68
  4. Step 4: Simplify right side
    257,978.16x = 38,690,164,209.47
  5. Step 5: Solve for x
    x = 38,690,164,209.47/257,978.16
  6. Step 6: Final answer
    x = 149,974.57

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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.