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Finding the Fourth Proportional to 133,378.38, 184,059.57 and 72,948.84

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Solution

The fourth proportional to 133,378.38, 184,059.57 and 72,948.84 is: 100,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,378.38 : 184,059.57 = 72,948.84 : x
  2. Step 2: Convert to fraction form
    133,378.38/184,059.57 = 72,948.84/x
  3. Step 3: Cross multiply
    133,378.38x = 184,059.57 × 72,948.84
  4. Step 4: Simplify right side
    133,378.38x = 13,426,932,122.40
  5. Step 5: Solve for x
    x = 13,426,932,122.40/133,378.38
  6. Step 6: Final answer
    x = 100,667.98

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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.