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Finding the Fourth Proportional to 200,762.13, 300,741.69 and 120,755.91

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Solution

The fourth proportional to 200,762.13, 300,741.69 and 120,755.91 is: 180,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,762.13 : 300,741.69 = 120,755.91 : x
  2. Step 2: Convert to fraction form
    200,762.13/300,741.69 = 120,755.91/x
  3. Step 3: Cross multiply
    200,762.13x = 300,741.69 × 120,755.91
  4. Step 4: Simplify right side
    200,762.13x = 36,316,336,450.89
  5. Step 5: Solve for x
    x = 36,316,336,450.89/200,762.13
  6. Step 6: Final answer
    x = 180,892.36

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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.