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Finding the Fourth Proportional to 205,666.41, 308,468.33 and 79,288.22

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Solution

The fourth proportional to 205,666.41, 308,468.33 and 79,288.22 is: 118,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666.41 : 308,468.33 = 79,288.22 : x
  2. Step 2: Convert to fraction form
    205,666.41/308,468.33 = 79,288.22/x
  3. Step 3: Cross multiply
    205,666.41x = 308,468.33 × 79,288.22
  4. Step 4: Simplify right side
    205,666.41x = 24,457,902,873.29
  5. Step 5: Solve for x
    x = 24,457,902,873.29/205,666.41
  6. Step 6: Final answer
    x = 118,920.26

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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.