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Finding the Fourth Proportional to 148,773, 205,308.36 and 81,705

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Solution

The fourth proportional to 148,773, 205,308.36 and 81,705 is: 112,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,773 : 205,308.36 = 81,705 : x
  2. Step 2: Convert to fraction form
    148,773/205,308.36 = 81,705/x
  3. Step 3: Cross multiply
    148,773x = 205,308.36 × 81,705
  4. Step 4: Simplify right side
    148,773x = 16,774,719,553.80
  5. Step 5: Solve for x
    x = 16,774,719,553.80/148,773
  6. Step 6: Final answer
    x = 112,753.79

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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.