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Finding the Fourth Proportional to 208,907.10, 288,290.25 and 113,411.34

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Solution

The fourth proportional to 208,907.10, 288,290.25 and 113,411.34 is: 156,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,907.10 : 288,290.25 = 113,411.34 : x
  2. Step 2: Convert to fraction form
    208,907.10/288,290.25 = 113,411.34/x
  3. Step 3: Cross multiply
    208,907.10x = 288,290.25 × 113,411.34
  4. Step 4: Simplify right side
    208,907.10x = 32,695,383,561.44
  5. Step 5: Solve for x
    x = 32,695,383,561.44/208,907.10
  6. Step 6: Final answer
    x = 156,506.81

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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.