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Finding the Fourth Proportional to 150,283, 207,390.54 and 83,215

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Solution

The fourth proportional to 150,283, 207,390.54 and 83,215 is: 114,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,283 : 207,390.54 = 83,215 : x
  2. Step 2: Convert to fraction form
    150,283/207,390.54 = 83,215/x
  3. Step 3: Cross multiply
    150,283x = 207,390.54 × 83,215
  4. Step 4: Simplify right side
    150,283x = 17,258,003,786.10
  5. Step 5: Solve for x
    x = 17,258,003,786.10/150,283
  6. Step 6: Final answer
    x = 114,836.70

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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.