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Finding the Fourth Proportional to 105,213.26, 157,895.32 and 71,394.94

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Solution

The fourth proportional to 105,213.26, 157,895.32 and 71,394.94 is: 107,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,213.26 : 157,895.32 = 71,394.94 : x
  2. Step 2: Convert to fraction form
    105,213.26/157,895.32 = 71,394.94/x
  3. Step 3: Cross multiply
    105,213.26x = 157,895.32 × 71,394.94
  4. Step 4: Simplify right side
    105,213.26x = 11,272,926,897.68
  5. Step 5: Solve for x
    x = 11,272,926,897.68/105,213.26
  6. Step 6: Final answer
    x = 107,143.59

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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.