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Finding the Fourth Proportional to 257,692.92, 355,636.62 and 142,982.88

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Solution

The fourth proportional to 257,692.92, 355,636.62 and 142,982.88 is: 197,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,692.92 : 355,636.62 = 142,982.88 : x
  2. Step 2: Convert to fraction form
    257,692.92/355,636.62 = 142,982.88/x
  3. Step 3: Cross multiply
    257,692.92x = 355,636.62 × 142,982.88
  4. Step 4: Simplify right side
    257,692.92x = 50,849,948,161.07
  5. Step 5: Solve for x
    x = 50,849,948,161.07/257,692.92
  6. Step 6: Final answer
    x = 197,327.69

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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.