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Finding the Fourth Proportional to 133,614, 184,397.81 and 76,240.08

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Solution

The fourth proportional to 133,614, 184,397.81 and 76,240.08 is: 105,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 184,397.81 = 76,240.08 : x
  2. Step 2: Convert to fraction form
    133,614/184,397.81 = 76,240.08/x
  3. Step 3: Cross multiply
    133,614x = 184,397.81 × 76,240.08
  4. Step 4: Simplify right side
    133,614x = 14,058,503,405.02
  5. Step 5: Solve for x
    x = 14,058,503,405.02/133,614
  6. Step 6: Final answer
    x = 105,217.29

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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.