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Finding the Fourth Proportional to 133,230.48, 183,771 and 85,408.08

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Solution

The fourth proportional to 133,230.48, 183,771 and 85,408.08 is: 117,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,230.48 : 183,771 = 85,408.08 : x
  2. Step 2: Convert to fraction form
    133,230.48/183,771 = 85,408.08/x
  3. Step 3: Cross multiply
    133,230.48x = 183,771 × 85,408.08
  4. Step 4: Simplify right side
    133,230.48x = 15,695,528,269.68
  5. Step 5: Solve for x
    x = 15,695,528,269.68/133,230.48
  6. Step 6: Final answer
    x = 117,807.34

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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.