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Finding the Fourth Proportional to 45,779, 63,176 and 25,907

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Solution

The fourth proportional to 45,779, 63,176 and 25,907 is: 35,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,779 : 63,176 = 25,907 : x
  2. Step 2: Convert to fraction form
    45,779/63,176 = 25,907/x
  3. Step 3: Cross multiply
    45,779x = 63,176 × 25,907
  4. Step 4: Simplify right side
    45,779x = 1,636,700,632
  5. Step 5: Solve for x
    x = 1,636,700,632/45,779
  6. Step 6: Final answer
    x = 35,752.21

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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.