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Finding the Fourth Proportional to 178,970, 268,455 and 47,642

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Solution

The fourth proportional to 178,970, 268,455 and 47,642 is: 71,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,970 : 268,455 = 47,642 : x
  2. Step 2: Convert to fraction form
    178,970/268,455 = 47,642/x
  3. Step 3: Cross multiply
    178,970x = 268,455 × 47,642
  4. Step 4: Simplify right side
    178,970x = 12,789,733,110
  5. Step 5: Solve for x
    x = 12,789,733,110/178,970
  6. Step 6: Final answer
    x = 71,463

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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.