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Finding the Fourth Proportional to 133,615.72, 184,420.04 and 83,305

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Solution

The fourth proportional to 133,615.72, 184,420.04 and 83,305 is: 114,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615.72 : 184,420.04 = 83,305 : x
  2. Step 2: Convert to fraction form
    133,615.72/184,420.04 = 83,305/x
  3. Step 3: Cross multiply
    133,615.72x = 184,420.04 × 83,305
  4. Step 4: Simplify right side
    133,615.72x = 15,363,111,432.20
  5. Step 5: Solve for x
    x = 15,363,111,432.20/133,615.72
  6. Step 6: Final answer
    x = 114,979.82

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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.