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Finding the Fourth Proportional to 148,970.76, 205,583.70 and 80,992.31

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Solution

The fourth proportional to 148,970.76, 205,583.70 and 80,992.31 is: 111,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970.76 : 205,583.70 = 80,992.31 : x
  2. Step 2: Convert to fraction form
    148,970.76/205,583.70 = 80,992.31/x
  3. Step 3: Cross multiply
    148,970.76x = 205,583.70 × 80,992.31
  4. Step 4: Simplify right side
    148,970.76x = 16,650,697,733.43
  5. Step 5: Solve for x
    x = 16,650,697,733.43/148,970.76
  6. Step 6: Final answer
    x = 111,771.58

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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.