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Finding the Fourth Proportional to 78,176, 117,264 and 34,400

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Solution

The fourth proportional to 78,176, 117,264 and 34,400 is: 51,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176 : 117,264 = 34,400 : x
  2. Step 2: Convert to fraction form
    78,176/117,264 = 34,400/x
  3. Step 3: Cross multiply
    78,176x = 117,264 × 34,400
  4. Step 4: Simplify right side
    78,176x = 4,033,881,600
  5. Step 5: Solve for x
    x = 4,033,881,600/78,176
  6. Step 6: Final answer
    x = 51,600

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.