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Finding the Fourth Proportional to 180,864, 271,296 and 70,056

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Solution

The fourth proportional to 180,864, 271,296 and 70,056 is: 105,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864 : 271,296 = 70,056 : x
  2. Step 2: Convert to fraction form
    180,864/271,296 = 70,056/x
  3. Step 3: Cross multiply
    180,864x = 271,296 × 70,056
  4. Step 4: Simplify right side
    180,864x = 19,005,912,576
  5. Step 5: Solve for x
    x = 19,005,912,576/180,864
  6. Step 6: Final answer
    x = 105,084

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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.