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Finding the Fourth Proportional to 118,668.24, 178,002.36 and 48,519

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Solution

The fourth proportional to 118,668.24, 178,002.36 and 48,519 is: 72,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,668.24 : 178,002.36 = 48,519 : x
  2. Step 2: Convert to fraction form
    118,668.24/178,002.36 = 48,519/x
  3. Step 3: Cross multiply
    118,668.24x = 178,002.36 × 48,519
  4. Step 4: Simplify right side
    118,668.24x = 8,636,496,504.84
  5. Step 5: Solve for x
    x = 8,636,496,504.84/118,668.24
  6. Step 6: Final answer
    x = 72,778.50

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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.