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Finding the Fourth Proportional to 282,138.21, 422,909.78 and 92,549.07

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Solution

The fourth proportional to 282,138.21, 422,909.78 and 92,549.07 is: 138,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,138.21 : 422,909.78 = 92,549.07 : x
  2. Step 2: Convert to fraction form
    282,138.21/422,909.78 = 92,549.07/x
  3. Step 3: Cross multiply
    282,138.21x = 422,909.78 × 92,549.07
  4. Step 4: Simplify right side
    282,138.21x = 39,139,906,370.16
  5. Step 5: Solve for x
    x = 39,139,906,370.16/282,138.21
  6. Step 6: Final answer
    x = 138,726.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.