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Finding the Fourth Proportional to 133,515, 184,251.84 and 76,157.23

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Solution

The fourth proportional to 133,515, 184,251.84 and 76,157.23 is: 105,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,515 : 184,251.84 = 76,157.23 : x
  2. Step 2: Convert to fraction form
    133,515/184,251.84 = 76,157.23/x
  3. Step 3: Cross multiply
    133,515x = 184,251.84 × 76,157.23
  4. Step 4: Simplify right side
    133,515x = 14,032,109,756.80
  5. Step 5: Solve for x
    x = 14,032,109,756.80/133,515
  6. Step 6: Final answer
    x = 105,097.63

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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.