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Finding the Fourth Proportional to 102,871.60, 154,307.40 and 85,375.60

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Solution

The fourth proportional to 102,871.60, 154,307.40 and 85,375.60 is: 128,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871.60 : 154,307.40 = 85,375.60 : x
  2. Step 2: Convert to fraction form
    102,871.60/154,307.40 = 85,375.60/x
  3. Step 3: Cross multiply
    102,871.60x = 154,307.40 × 85,375.60
  4. Step 4: Simplify right side
    102,871.60x = 13,174,086,859.44
  5. Step 5: Solve for x
    x = 13,174,086,859.44/102,871.60
  6. Step 6: Final answer
    x = 128,063.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.