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Finding the Fourth Proportional to 114,396.67, 157,814 and 71,978.59

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Solution

The fourth proportional to 114,396.67, 157,814 and 71,978.59 is: 99,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396.67 : 157,814 = 71,978.59 : x
  2. Step 2: Convert to fraction form
    114,396.67/157,814 = 71,978.59/x
  3. Step 3: Cross multiply
    114,396.67x = 157,814 × 71,978.59
  4. Step 4: Simplify right side
    114,396.67x = 11,359,229,202.26
  5. Step 5: Solve for x
    x = 11,359,229,202.26/114,396.67
  6. Step 6: Final answer
    x = 99,296.85

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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.