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Finding the Fourth Proportional to 133,806.50, 184,652.78 and 77,217.88

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Solution

The fourth proportional to 133,806.50, 184,652.78 and 77,217.88 is: 106,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.50 : 184,652.78 = 77,217.88 : x
  2. Step 2: Convert to fraction form
    133,806.50/184,652.78 = 77,217.88/x
  3. Step 3: Cross multiply
    133,806.50x = 184,652.78 × 77,217.88
  4. Step 4: Simplify right side
    133,806.50x = 14,258,496,207.71
  5. Step 5: Solve for x
    x = 14,258,496,207.71/133,806.50
  6. Step 6: Final answer
    x = 106,560.56

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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.