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Finding the Fourth Proportional to 189,297, 283,862.34 and 70,885.29

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Solution

The fourth proportional to 189,297, 283,862.34 and 70,885.29 is: 106,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,297 : 283,862.34 = 70,885.29 : x
  2. Step 2: Convert to fraction form
    189,297/283,862.34 = 70,885.29/x
  3. Step 3: Cross multiply
    189,297x = 283,862.34 × 70,885.29
  4. Step 4: Simplify right side
    189,297x = 20,121,664,290.98
  5. Step 5: Solve for x
    x = 20,121,664,290.98/189,297
  6. Step 6: Final answer
    x = 106,296.79

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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.