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Finding the Fourth Proportional to 207,152, 310,728 and 51,504

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Solution

The fourth proportional to 207,152, 310,728 and 51,504 is: 77,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,152 : 310,728 = 51,504 : x
  2. Step 2: Convert to fraction form
    207,152/310,728 = 51,504/x
  3. Step 3: Cross multiply
    207,152x = 310,728 × 51,504
  4. Step 4: Simplify right side
    207,152x = 16,003,734,912
  5. Step 5: Solve for x
    x = 16,003,734,912/207,152
  6. Step 6: Final answer
    x = 77,256

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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.