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Finding the Fourth Proportional to 133,491.76, 184,285.28 and 76,892.20

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Solution

The fourth proportional to 133,491.76, 184,285.28 and 76,892.20 is: 106,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,491.76 : 184,285.28 = 76,892.20 : x
  2. Step 2: Convert to fraction form
    133,491.76/184,285.28 = 76,892.20/x
  3. Step 3: Cross multiply
    133,491.76x = 184,285.28 × 76,892.20
  4. Step 4: Simplify right side
    133,491.76x = 14,170,100,606.82
  5. Step 5: Solve for x
    x = 14,170,100,606.82/133,491.76
  6. Step 6: Final answer
    x = 106,149.63

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1.5x scale

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.