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Finding the Fourth Proportional to 201,831.70, 302,488.35 and 122,862.10

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Solution

The fourth proportional to 201,831.70, 302,488.35 and 122,862.10 is: 184,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831.70 : 302,488.35 = 122,862.10 : x
  2. Step 2: Convert to fraction form
    201,831.70/302,488.35 = 122,862.10/x
  3. Step 3: Cross multiply
    201,831.70x = 302,488.35 × 122,862.10
  4. Step 4: Simplify right side
    201,831.70x = 37,164,353,906.54
  5. Step 5: Solve for x
    x = 37,164,353,906.54/201,831.70
  6. Step 6: Final answer
    x = 184,135.37

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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.