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Finding the Fourth Proportional to 150,228, 207,317.88 and 82,247.40

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Solution

The fourth proportional to 150,228, 207,317.88 and 82,247.40 is: 113,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 207,317.88 = 82,247.40 : x
  2. Step 2: Convert to fraction form
    150,228/207,317.88 = 82,247.40/x
  3. Step 3: Cross multiply
    150,228x = 207,317.88 × 82,247.40
  4. Step 4: Simplify right side
    150,228x = 17,051,356,603.51
  5. Step 5: Solve for x
    x = 17,051,356,603.51/150,228
  6. Step 6: Final answer
    x = 113,503.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.