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Finding the Fourth Proportional to 118,996, 178,494 and 45,124

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Solution

The fourth proportional to 118,996, 178,494 and 45,124 is: 67,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996 : 178,494 = 45,124 : x
  2. Step 2: Convert to fraction form
    118,996/178,494 = 45,124/x
  3. Step 3: Cross multiply
    118,996x = 178,494 × 45,124
  4. Step 4: Simplify right side
    118,996x = 8,054,363,256
  5. Step 5: Solve for x
    x = 8,054,363,256/118,996
  6. Step 6: Final answer
    x = 67,686

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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.