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Finding the Fourth Proportional to 189,469.80, 284,152.86 and 71,132.04

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Solution

The fourth proportional to 189,469.80, 284,152.86 and 71,132.04 is: 106,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.80 : 284,152.86 = 71,132.04 : x
  2. Step 2: Convert to fraction form
    189,469.80/284,152.86 = 71,132.04/x
  3. Step 3: Cross multiply
    189,469.80x = 284,152.86 × 71,132.04
  4. Step 4: Simplify right side
    189,469.80x = 20,212,372,603.63
  5. Step 5: Solve for x
    x = 20,212,372,603.63/189,469.80
  6. Step 6: Final answer
    x = 106,678.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.