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Finding the Fourth Proportional to 150,284, 207,391.92 and 83,216

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Solution

The fourth proportional to 150,284, 207,391.92 and 83,216 is: 114,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,284 : 207,391.92 = 83,216 : x
  2. Step 2: Convert to fraction form
    150,284/207,391.92 = 83,216/x
  3. Step 3: Cross multiply
    150,284x = 207,391.92 × 83,216
  4. Step 4: Simplify right side
    150,284x = 17,258,326,014.72
  5. Step 5: Solve for x
    x = 17,258,326,014.72/150,284
  6. Step 6: Final answer
    x = 114,838.08

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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.