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Finding the Fourth Proportional to 262,085.50, 393,128.25 and 75,097

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Solution

The fourth proportional to 262,085.50, 393,128.25 and 75,097 is: 112,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,085.50 : 393,128.25 = 75,097 : x
  2. Step 2: Convert to fraction form
    262,085.50/393,128.25 = 75,097/x
  3. Step 3: Cross multiply
    262,085.50x = 393,128.25 × 75,097
  4. Step 4: Simplify right side
    262,085.50x = 29,522,752,190.25
  5. Step 5: Solve for x
    x = 29,522,752,190.25/262,085.50
  6. Step 6: Final answer
    x = 112,645.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.