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Finding the Fourth Proportional to 150,303, 207,418.20 and 83,235

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Solution

The fourth proportional to 150,303, 207,418.20 and 83,235 is: 114,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303 : 207,418.20 = 83,235 : x
  2. Step 2: Convert to fraction form
    150,303/207,418.20 = 83,235/x
  3. Step 3: Cross multiply
    150,303x = 207,418.20 × 83,235
  4. Step 4: Simplify right side
    150,303x = 17,264,453,877
  5. Step 5: Solve for x
    x = 17,264,453,877/150,303
  6. Step 6: Final answer
    x = 114,864.33

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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.