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Finding the Fourth Proportional to 133,513, 184,248.12 and 83,212

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Solution

The fourth proportional to 133,513, 184,248.12 and 83,212 is: 114,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513 : 184,248.12 = 83,212 : x
  2. Step 2: Convert to fraction form
    133,513/184,248.12 = 83,212/x
  3. Step 3: Cross multiply
    133,513x = 184,248.12 × 83,212
  4. Step 4: Simplify right side
    133,513x = 15,331,654,561.44
  5. Step 5: Solve for x
    x = 15,331,654,561.44/133,513
  6. Step 6: Final answer
    x = 114,832.67

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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.