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Finding the Fourth Proportional to 133,821, 184,672.98 and 74,205

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Solution

The fourth proportional to 133,821, 184,672.98 and 74,205 is: 102,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821 : 184,672.98 = 74,205 : x
  2. Step 2: Convert to fraction form
    133,821/184,672.98 = 74,205/x
  3. Step 3: Cross multiply
    133,821x = 184,672.98 × 74,205
  4. Step 4: Simplify right side
    133,821x = 13,703,658,480.90
  5. Step 5: Solve for x
    x = 13,703,658,480.90/133,821
  6. Step 6: Final answer
    x = 102,402.90

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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.