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Finding the Fourth Proportional to 114,396.74, 157,814.09 and 71,978.66

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Solution

The fourth proportional to 114,396.74, 157,814.09 and 71,978.66 is: 99,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396.74 : 157,814.09 = 71,978.66 : x
  2. Step 2: Convert to fraction form
    114,396.74/157,814.09 = 71,978.66/x
  3. Step 3: Cross multiply
    114,396.74x = 157,814.09 × 71,978.66
  4. Step 4: Simplify right side
    114,396.74x = 11,359,245,578.36
  5. Step 5: Solve for x
    x = 11,359,245,578.36/114,396.74
  6. Step 6: Final answer
    x = 99,296.94

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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.