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Finding the Fourth Proportional to 78,376.31, 117,715.73 and 67,157.00

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Solution

The fourth proportional to 78,376.31, 117,715.73 and 67,157.00 is: 100,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376.31 : 117,715.73 = 67,157.00 : x
  2. Step 2: Convert to fraction form
    78,376.31/117,715.73 = 67,157.00/x
  3. Step 3: Cross multiply
    78,376.31x = 117,715.73 × 67,157.00
  4. Step 4: Simplify right side
    78,376.31x = 7,905,434,355.25
  5. Step 5: Solve for x
    x = 7,905,434,355.25/78,376.31
  6. Step 6: Final answer
    x = 100,865.11

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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.