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Finding the Fourth Proportional to 133,485.12, 184,209.36 and 83,184

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Solution

The fourth proportional to 133,485.12, 184,209.36 and 83,184 is: 114,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,485.12 : 184,209.36 = 83,184 : x
  2. Step 2: Convert to fraction form
    133,485.12/184,209.36 = 83,184/x
  3. Step 3: Cross multiply
    133,485.12x = 184,209.36 × 83,184
  4. Step 4: Simplify right side
    133,485.12x = 15,323,271,402.24
  5. Step 5: Solve for x
    x = 15,323,271,402.24/133,485.12
  6. Step 6: Final answer
    x = 114,793.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.