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Finding the Fourth Proportional to 205,897.20, 308,845.80 and 72,776.40

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Solution

The fourth proportional to 205,897.20, 308,845.80 and 72,776.40 is: 109,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,897.20 : 308,845.80 = 72,776.40 : x
  2. Step 2: Convert to fraction form
    205,897.20/308,845.80 = 72,776.40/x
  3. Step 3: Cross multiply
    205,897.20x = 308,845.80 × 72,776.40
  4. Step 4: Simplify right side
    205,897.20x = 22,476,685,479.12
  5. Step 5: Solve for x
    x = 22,476,685,479.12/205,897.20
  6. Step 6: Final answer
    x = 109,164.60

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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.