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Finding the Fourth Proportional to 145,919.85, 201,366.69 and 82,257.69

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Solution

The fourth proportional to 145,919.85, 201,366.69 and 82,257.69 is: 113,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,919.85 : 201,366.69 = 82,257.69 : x
  2. Step 2: Convert to fraction form
    145,919.85/201,366.69 = 82,257.69/x
  3. Step 3: Cross multiply
    145,919.85x = 201,366.69 × 82,257.69
  4. Step 4: Simplify right side
    145,919.85x = 16,563,958,762.35
  5. Step 5: Solve for x
    x = 16,563,958,762.35/145,919.85
  6. Step 6: Final answer
    x = 113,514.09

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1.5x scale

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.