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Finding the Fourth Proportional to 212,951, 319,480.50 and 79,831.64

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Solution

The fourth proportional to 212,951, 319,480.50 and 79,831.64 is: 119,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951 : 319,480.50 = 79,831.64 : x
  2. Step 2: Convert to fraction form
    212,951/319,480.50 = 79,831.64/x
  3. Step 3: Cross multiply
    212,951x = 319,480.50 × 79,831.64
  4. Step 4: Simplify right side
    212,951x = 25,504,652,263.02
  5. Step 5: Solve for x
    x = 25,504,652,263.02/212,951
  6. Step 6: Final answer
    x = 119,767.70

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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.