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Finding the Fourth Proportional to 133,803.56, 184,647.39 and 77,213.72

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Solution

The fourth proportional to 133,803.56, 184,647.39 and 77,213.72 is: 106,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,803.56 : 184,647.39 = 77,213.72 : x
  2. Step 2: Convert to fraction form
    133,803.56/184,647.39 = 77,213.72/x
  3. Step 3: Cross multiply
    133,803.56x = 184,647.39 × 77,213.72
  4. Step 4: Simplify right side
    133,803.56x = 14,257,311,870.19
  5. Step 5: Solve for x
    x = 14,257,311,870.19/133,803.56
  6. Step 6: Final answer
    x = 106,554.05

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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.