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Finding the Fourth Proportional to 205,798.16, 308,722.64 and 72,651.44

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Solution

The fourth proportional to 205,798.16, 308,722.64 and 72,651.44 is: 108,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,798.16 : 308,722.64 = 72,651.44 : x
  2. Step 2: Convert to fraction form
    205,798.16/308,722.64 = 72,651.44/x
  3. Step 3: Cross multiply
    205,798.16x = 308,722.64 × 72,651.44
  4. Step 4: Simplify right side
    205,798.16x = 22,429,144,356.60
  5. Step 5: Solve for x
    x = 22,429,144,356.60/205,798.16
  6. Step 6: Final answer
    x = 108,986.13

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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.