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Finding the Fourth Proportional to 266,175.81, 399,066.89 and 160,971.39

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Solution

The fourth proportional to 266,175.81, 399,066.89 and 160,971.39 is: 241,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,175.81 : 399,066.89 = 160,971.39 : x
  2. Step 2: Convert to fraction form
    266,175.81/399,066.89 = 160,971.39/x
  3. Step 3: Cross multiply
    266,175.81x = 399,066.89 × 160,971.39
  4. Step 4: Simplify right side
    266,175.81x = 64,238,351,986.28
  5. Step 5: Solve for x
    x = 64,238,351,986.28/266,175.81
  6. Step 6: Final answer
    x = 241,338.05

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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.