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Finding the Fourth Proportional to 133,407.57, 184,102.39 and 72,978.20

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Solution

The fourth proportional to 133,407.57, 184,102.39 and 72,978.20 is: 100,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.57 : 184,102.39 = 72,978.20 : x
  2. Step 2: Convert to fraction form
    133,407.57/184,102.39 = 72,978.20/x
  3. Step 3: Cross multiply
    133,407.57x = 184,102.39 × 72,978.20
  4. Step 4: Simplify right side
    133,407.57x = 13,435,461,589.38
  5. Step 5: Solve for x
    x = 13,435,461,589.38/133,407.57
  6. Step 6: Final answer
    x = 100,709.89

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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.