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Finding the Fourth Proportional to 133,451.85, 184,059.54 and 85,709.64

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Solution

The fourth proportional to 133,451.85, 184,059.54 and 85,709.64 is: 118,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,451.85 : 184,059.54 = 85,709.64 : x
  2. Step 2: Convert to fraction form
    133,451.85/184,059.54 = 85,709.64/x
  3. Step 3: Cross multiply
    133,451.85x = 184,059.54 × 85,709.64
  4. Step 4: Simplify right side
    133,451.85x = 15,775,677,602.19
  5. Step 5: Solve for x
    x = 15,775,677,602.19/133,451.85
  6. Step 6: Final answer
    x = 118,212.50

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1.5x scale

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.