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Finding the Fourth Proportional to 133,870.92, 184,866.89 and 86,208.09

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Solution

The fourth proportional to 133,870.92, 184,866.89 and 86,208.09 is: 119,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870.92 : 184,866.89 = 86,208.09 : x
  2. Step 2: Convert to fraction form
    133,870.92/184,866.89 = 86,208.09/x
  3. Step 3: Cross multiply
    133,870.92x = 184,866.89 × 86,208.09
  4. Step 4: Simplify right side
    133,870.92x = 15,937,021,060.10
  5. Step 5: Solve for x
    x = 15,937,021,060.10/133,870.92
  6. Step 6: Final answer
    x = 119,047.67

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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.