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Finding the Fourth Proportional to 78,071.66, 117,224.13 and 76,905.26

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Solution

The fourth proportional to 78,071.66, 117,224.13 and 76,905.26 is: 115,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071.66 : 117,224.13 = 76,905.26 : x
  2. Step 2: Convert to fraction form
    78,071.66/117,224.13 = 76,905.26/x
  3. Step 3: Cross multiply
    78,071.66x = 117,224.13 × 76,905.26
  4. Step 4: Simplify right side
    78,071.66x = 9,015,152,195.92
  5. Step 5: Solve for x
    x = 9,015,152,195.92/78,071.66
  6. Step 6: Final answer
    x = 115,472.79

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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.