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Finding the Fourth Proportional to 205,088.64, 307,770.24 and 71,969.52

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Solution

The fourth proportional to 205,088.64, 307,770.24 and 71,969.52 is: 108,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088.64 : 307,770.24 = 71,969.52 : x
  2. Step 2: Convert to fraction form
    205,088.64/307,770.24 = 71,969.52/x
  3. Step 3: Cross multiply
    205,088.64x = 307,770.24 × 71,969.52
  4. Step 4: Simplify right side
    205,088.64x = 22,150,076,443.08
  5. Step 5: Solve for x
    x = 22,150,076,443.08/205,088.64
  6. Step 6: Final answer
    x = 108,002.45

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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.