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Finding the Fourth Proportional to 148,775, 205,311.12 and 81,707

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Solution

The fourth proportional to 148,775, 205,311.12 and 81,707 is: 112,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,775 : 205,311.12 = 81,707 : x
  2. Step 2: Convert to fraction form
    148,775/205,311.12 = 81,707/x
  3. Step 3: Cross multiply
    148,775x = 205,311.12 × 81,707
  4. Step 4: Simplify right side
    148,775x = 16,775,355,681.84
  5. Step 5: Solve for x
    x = 16,775,355,681.84/148,775
  6. Step 6: Final answer
    x = 112,756.55

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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.