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Finding the Fourth Proportional to 200,699.08, 301,010.24 and 100,831.60

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Solution

The fourth proportional to 200,699.08, 301,010.24 and 100,831.60 is: 151,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,699.08 : 301,010.24 = 100,831.60 : x
  2. Step 2: Convert to fraction form
    200,699.08/301,010.24 = 100,831.60/x
  3. Step 3: Cross multiply
    200,699.08x = 301,010.24 × 100,831.60
  4. Step 4: Simplify right side
    200,699.08x = 30,351,344,115.58
  5. Step 5: Solve for x
    x = 30,351,344,115.58/200,699.08
  6. Step 6: Final answer
    x = 151,228.12

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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.