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Finding the Fourth Proportional to 150,303, 207,424.62 and 83,235

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Solution

The fourth proportional to 150,303, 207,424.62 and 83,235 is: 114,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303 : 207,424.62 = 83,235 : x
  2. Step 2: Convert to fraction form
    150,303/207,424.62 = 83,235/x
  3. Step 3: Cross multiply
    150,303x = 207,424.62 × 83,235
  4. Step 4: Simplify right side
    150,303x = 17,264,988,245.70
  5. Step 5: Solve for x
    x = 17,264,988,245.70/150,303
  6. Step 6: Final answer
    x = 114,867.89

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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.