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Finding the Fourth Proportional to 209,769.30, 314,699.52 and 76,649.36

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Solution

The fourth proportional to 209,769.30, 314,699.52 and 76,649.36 is: 114,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,769.30 : 314,699.52 = 76,649.36 : x
  2. Step 2: Convert to fraction form
    209,769.30/314,699.52 = 76,649.36/x
  3. Step 3: Cross multiply
    209,769.30x = 314,699.52 × 76,649.36
  4. Step 4: Simplify right side
    209,769.30x = 24,121,515,226.81
  5. Step 5: Solve for x
    x = 24,121,515,226.81/209,769.30
  6. Step 6: Final answer
    x = 114,990.68

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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.