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Finding the Fourth Proportional to 150,699, 207,965.16 and 83,631

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Solution

The fourth proportional to 150,699, 207,965.16 and 83,631 is: 115,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,699 : 207,965.16 = 83,631 : x
  2. Step 2: Convert to fraction form
    150,699/207,965.16 = 83,631/x
  3. Step 3: Cross multiply
    150,699x = 207,965.16 × 83,631
  4. Step 4: Simplify right side
    150,699x = 17,392,334,295.96
  5. Step 5: Solve for x
    x = 17,392,334,295.96/150,699
  6. Step 6: Final answer
    x = 115,411.08

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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.