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Finding the Fourth Proportional to 257,679.77, 355,600.22 and 142,965.94

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Solution

The fourth proportional to 257,679.77, 355,600.22 and 142,965.94 is: 197,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,679.77 : 355,600.22 = 142,965.94 : x
  2. Step 2: Convert to fraction form
    257,679.77/355,600.22 = 142,965.94/x
  3. Step 3: Cross multiply
    257,679.77x = 355,600.22 × 142,965.94
  4. Step 4: Simplify right side
    257,679.77x = 50,838,719,716.51
  5. Step 5: Solve for x
    x = 50,838,719,716.51/257,679.77
  6. Step 6: Final answer
    x = 197,294.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.