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Finding the Fourth Proportional to 200,699.15, 301,010.40 and 100,831.61

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Solution

The fourth proportional to 200,699.15, 301,010.40 and 100,831.61 is: 151,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,699.15 : 301,010.40 = 100,831.61 : x
  2. Step 2: Convert to fraction form
    200,699.15/301,010.40 = 100,831.61/x
  3. Step 3: Cross multiply
    200,699.15x = 301,010.40 × 100,831.61
  4. Step 4: Simplify right side
    200,699.15x = 30,351,364,011.27
  5. Step 5: Solve for x
    x = 30,351,364,011.27/200,699.15
  6. Step 6: Final answer
    x = 151,228.17

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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.