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Finding the Fourth Proportional to 257,813.52, 355,781.16 and 144,636

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Solution

The fourth proportional to 257,813.52, 355,781.16 and 144,636 is: 199,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,813.52 : 355,781.16 = 144,636 : x
  2. Step 2: Convert to fraction form
    257,813.52/355,781.16 = 144,636/x
  3. Step 3: Cross multiply
    257,813.52x = 355,781.16 × 144,636
  4. Step 4: Simplify right side
    257,813.52x = 51,458,763,857.76
  5. Step 5: Solve for x
    x = 51,458,763,857.76/257,813.52
  6. Step 6: Final answer
    x = 199,596.84

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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.