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Finding the Fourth Proportional to 114,396.17, 157,813.31 and 71,978.09

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Solution

The fourth proportional to 114,396.17, 157,813.31 and 71,978.09 is: 99,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396.17 : 157,813.31 = 71,978.09 : x
  2. Step 2: Convert to fraction form
    114,396.17/157,813.31 = 71,978.09/x
  3. Step 3: Cross multiply
    114,396.17x = 157,813.31 × 71,978.09
  4. Step 4: Simplify right side
    114,396.17x = 11,359,100,021.26
  5. Step 5: Solve for x
    x = 11,359,100,021.26/114,396.17
  6. Step 6: Final answer
    x = 99,296.16

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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.