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Finding the Fourth Proportional to 100,396.70, 138,467.58 and 85,339.20

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Solution

The fourth proportional to 100,396.70, 138,467.58 and 85,339.20 is: 117,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.70 : 138,467.58 = 85,339.20 : x
  2. Step 2: Convert to fraction form
    100,396.70/138,467.58 = 85,339.20/x
  3. Step 3: Cross multiply
    100,396.70x = 138,467.58 × 85,339.20
  4. Step 4: Simplify right side
    100,396.70x = 11,816,712,702.37
  5. Step 5: Solve for x
    x = 11,816,712,702.37/100,396.70
  6. Step 6: Final answer
    x = 117,700.21

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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.