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Finding the Fourth Proportional to 205,126.80, 307,690.20 and 163,654.80

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Solution

The fourth proportional to 205,126.80, 307,690.20 and 163,654.80 is: 245,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,126.80 : 307,690.20 = 163,654.80 : x
  2. Step 2: Convert to fraction form
    205,126.80/307,690.20 = 163,654.80/x
  3. Step 3: Cross multiply
    205,126.80x = 307,690.20 × 163,654.80
  4. Step 4: Simplify right side
    205,126.80x = 50,354,978,142.96
  5. Step 5: Solve for x
    x = 50,354,978,142.96/205,126.80
  6. Step 6: Final answer
    x = 245,482.20

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1.5x scale

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.