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Finding the Fourth Proportional to 150,078, 207,114.12 and 83,010

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Solution

The fourth proportional to 150,078, 207,114.12 and 83,010 is: 114,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,078 : 207,114.12 = 83,010 : x
  2. Step 2: Convert to fraction form
    150,078/207,114.12 = 83,010/x
  3. Step 3: Cross multiply
    150,078x = 207,114.12 × 83,010
  4. Step 4: Simplify right side
    150,078x = 17,192,543,101.20
  5. Step 5: Solve for x
    x = 17,192,543,101.20/150,078
  6. Step 6: Final answer
    x = 114,557.38

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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.