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Finding the Fourth Proportional to 109,107.83, 150,537.75 and 65,482.66

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Solution

The fourth proportional to 109,107.83, 150,537.75 and 65,482.66 is: 90,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,107.83 : 150,537.75 = 65,482.66 : x
  2. Step 2: Convert to fraction form
    109,107.83/150,537.75 = 65,482.66/x
  3. Step 3: Cross multiply
    109,107.83x = 150,537.75 × 65,482.66
  4. Step 4: Simplify right side
    109,107.83x = 9,857,612,300.42
  5. Step 5: Solve for x
    x = 9,857,612,300.42/109,107.83
  6. Step 6: Final answer
    x = 90,347.43

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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.