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Finding the Fourth Proportional to 133,138.10, 183,723.72 and 72,697.10

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Solution

The fourth proportional to 133,138.10, 183,723.72 and 72,697.10 is: 100,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,138.10 : 183,723.72 = 72,697.10 : x
  2. Step 2: Convert to fraction form
    133,138.10/183,723.72 = 72,697.10/x
  3. Step 3: Cross multiply
    133,138.10x = 183,723.72 × 72,697.10
  4. Step 4: Simplify right side
    133,138.10x = 13,356,181,645.21
  5. Step 5: Solve for x
    x = 13,356,181,645.21/133,138.10
  6. Step 6: Final answer
    x = 100,318.25

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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.