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Finding the Fourth Proportional to 148,408, 204,816 and 81,352.96

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Solution

The fourth proportional to 148,408, 204,816 and 81,352.96 is: 112,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,408 : 204,816 = 81,352.96 : x
  2. Step 2: Convert to fraction form
    148,408/204,816 = 81,352.96/x
  3. Step 3: Cross multiply
    148,408x = 204,816 × 81,352.96
  4. Step 4: Simplify right side
    148,408x = 16,662,387,855.36
  5. Step 5: Solve for x
    x = 16,662,387,855.36/148,408
  6. Step 6: Final answer
    x = 112,274.19

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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.