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Finding the Fourth Proportional to 133,819.50, 184,670.91 and 74,203.50

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Solution

The fourth proportional to 133,819.50, 184,670.91 and 74,203.50 is: 102,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.50 : 184,670.91 = 74,203.50 : x
  2. Step 2: Convert to fraction form
    133,819.50/184,670.91 = 74,203.50/x
  3. Step 3: Cross multiply
    133,819.50x = 184,670.91 × 74,203.50
  4. Step 4: Simplify right side
    133,819.50x = 13,703,227,870.19
  5. Step 5: Solve for x
    x = 13,703,227,870.19/133,819.50
  6. Step 6: Final answer
    x = 102,400.83

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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.