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Finding the Fourth Proportional to 257,797.80, 386,715.12 and 107,887.14

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Solution

The fourth proportional to 257,797.80, 386,715.12 and 107,887.14 is: 161,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,797.80 : 386,715.12 = 107,887.14 : x
  2. Step 2: Convert to fraction form
    257,797.80/386,715.12 = 107,887.14/x
  3. Step 3: Cross multiply
    257,797.80x = 386,715.12 × 107,887.14
  4. Step 4: Simplify right side
    257,797.80x = 41,721,588,291.56
  5. Step 5: Solve for x
    x = 41,721,588,291.56/257,797.80
  6. Step 6: Final answer
    x = 161,838.42

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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.