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Finding the Fourth Proportional to 178,104.60, 266,768.10 and 138,349.80

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Solution

The fourth proportional to 178,104.60, 266,768.10 and 138,349.80 is: 207,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,104.60 : 266,768.10 = 138,349.80 : x
  2. Step 2: Convert to fraction form
    178,104.60/266,768.10 = 138,349.80/x
  3. Step 3: Cross multiply
    178,104.60x = 266,768.10 × 138,349.80
  4. Step 4: Simplify right side
    178,104.60x = 36,907,313,281.38
  5. Step 5: Solve for x
    x = 36,907,313,281.38/178,104.60
  6. Step 6: Final answer
    x = 207,222.68

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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.