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Finding the Fourth Proportional to 165,376, 248,064 and 48,640

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Solution

The fourth proportional to 165,376, 248,064 and 48,640 is: 72,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,376 : 248,064 = 48,640 : x
  2. Step 2: Convert to fraction form
    165,376/248,064 = 48,640/x
  3. Step 3: Cross multiply
    165,376x = 248,064 × 48,640
  4. Step 4: Simplify right side
    165,376x = 12,065,832,960
  5. Step 5: Solve for x
    x = 12,065,832,960/165,376
  6. Step 6: Final answer
    x = 72,960

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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.