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Finding the Fourth Proportional to 148,884, 205,459.92 and 81,816

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Solution

The fourth proportional to 148,884, 205,459.92 and 81,816 is: 112,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,884 : 205,459.92 = 81,816 : x
  2. Step 2: Convert to fraction form
    148,884/205,459.92 = 81,816/x
  3. Step 3: Cross multiply
    148,884x = 205,459.92 × 81,816
  4. Step 4: Simplify right side
    148,884x = 16,809,908,814.72
  5. Step 5: Solve for x
    x = 16,809,908,814.72/148,884
  6. Step 6: Final answer
    x = 112,906.08

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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.