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Finding the Fourth Proportional to 133,819.52, 184,679.88 and 77,229.68

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Solution

The fourth proportional to 133,819.52, 184,679.88 and 77,229.68 is: 106,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.52 : 184,679.88 = 77,229.68 : x
  2. Step 2: Convert to fraction form
    133,819.52/184,679.88 = 77,229.68/x
  3. Step 3: Cross multiply
    133,819.52x = 184,679.88 × 77,229.68
  4. Step 4: Simplify right side
    133,819.52x = 14,262,768,034.84
  5. Step 5: Solve for x
    x = 14,262,768,034.84/133,819.52
  6. Step 6: Final answer
    x = 106,582.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.