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Finding the Fourth Proportional to 148,696.50, 205,198.74 and 85,032.12

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Solution

The fourth proportional to 148,696.50, 205,198.74 and 85,032.12 is: 117,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,696.50 : 205,198.74 = 85,032.12 : x
  2. Step 2: Convert to fraction form
    148,696.50/205,198.74 = 85,032.12/x
  3. Step 3: Cross multiply
    148,696.50x = 205,198.74 × 85,032.12
  4. Step 4: Simplify right side
    148,696.50x = 17,448,483,883.53
  5. Step 5: Solve for x
    x = 17,448,483,883.53/148,696.50
  6. Step 6: Final answer
    x = 117,342.94

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1.5x scale

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.