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Finding the Fourth Proportional to 150,083, 207,121.02 and 83,015

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Solution

The fourth proportional to 150,083, 207,121.02 and 83,015 is: 114,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,083 : 207,121.02 = 83,015 : x
  2. Step 2: Convert to fraction form
    150,083/207,121.02 = 83,015/x
  3. Step 3: Cross multiply
    150,083x = 207,121.02 × 83,015
  4. Step 4: Simplify right side
    150,083x = 17,194,151,475.30
  5. Step 5: Solve for x
    x = 17,194,151,475.30/150,083
  6. Step 6: Final answer
    x = 114,564.28

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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.