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Finding the Fourth Proportional to 205,965.10, 287,651.30 and 205,965.10

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Solution

The fourth proportional to 205,965.10, 287,651.30 and 205,965.10 is: 287,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,965.10 : 287,651.30 = 205,965.10 : x
  2. Step 2: Convert to fraction form
    205,965.10/287,651.30 = 205,965.10/x
  3. Step 3: Cross multiply
    205,965.10x = 287,651.30 × 205,965.10
  4. Step 4: Simplify right side
    205,965.10x = 59,246,128,769.63
  5. Step 5: Solve for x
    x = 59,246,128,769.63/205,965.10
  6. Step 6: Final answer
    x = 287,651.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.