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Finding the Fourth Proportional to 208,744, 288,066.72 and 119,321.92

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Solution

The fourth proportional to 208,744, 288,066.72 and 119,321.92 is: 164,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744 : 288,066.72 = 119,321.92 : x
  2. Step 2: Convert to fraction form
    208,744/288,066.72 = 119,321.92/x
  3. Step 3: Cross multiply
    208,744x = 288,066.72 × 119,321.92
  4. Step 4: Simplify right side
    208,744x = 34,372,674,118.50
  5. Step 5: Solve for x
    x = 34,372,674,118.50/208,744
  6. Step 6: Final answer
    x = 164,664.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.