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Finding the Fourth Proportional to 208,868.88, 288,239.40 and 113,375.55

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Solution

The fourth proportional to 208,868.88, 288,239.40 and 113,375.55 is: 156,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,868.88 : 288,239.40 = 113,375.55 : x
  2. Step 2: Convert to fraction form
    208,868.88/288,239.40 = 113,375.55/x
  3. Step 3: Cross multiply
    208,868.88x = 288,239.40 × 113,375.55
  4. Step 4: Simplify right side
    208,868.88x = 32,679,300,506.67
  5. Step 5: Solve for x
    x = 32,679,300,506.67/208,868.88
  6. Step 6: Final answer
    x = 156,458.45

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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.