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Finding the Fourth Proportional to 283,412.35, 425,106.22 and 105,920.90

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Solution

The fourth proportional to 283,412.35, 425,106.22 and 105,920.90 is: 158,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,412.35 : 425,106.22 = 105,920.90 : x
  2. Step 2: Convert to fraction form
    283,412.35/425,106.22 = 105,920.90/x
  3. Step 3: Cross multiply
    283,412.35x = 425,106.22 × 105,920.90
  4. Step 4: Simplify right side
    283,412.35x = 45,027,633,418.00
  5. Step 5: Solve for x
    x = 45,027,633,418.00/283,412.35
  6. Step 6: Final answer
    x = 158,876.75

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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.