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Finding the Fourth Proportional to 97,176, 145,764 and 31,512

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Solution

The fourth proportional to 97,176, 145,764 and 31,512 is: 47,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,176 : 145,764 = 31,512 : x
  2. Step 2: Convert to fraction form
    97,176/145,764 = 31,512/x
  3. Step 3: Cross multiply
    97,176x = 145,764 × 31,512
  4. Step 4: Simplify right side
    97,176x = 4,593,315,168
  5. Step 5: Solve for x
    x = 4,593,315,168/97,176
  6. Step 6: Final answer
    x = 47,268

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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.