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Finding the Fourth Proportional to 189,294, 283,989 and 70,965.68

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Solution

The fourth proportional to 189,294, 283,989 and 70,965.68 is: 106,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,294 : 283,989 = 70,965.68 : x
  2. Step 2: Convert to fraction form
    189,294/283,989 = 70,965.68/x
  3. Step 3: Cross multiply
    189,294x = 283,989 × 70,965.68
  4. Step 4: Simplify right side
    189,294x = 20,153,472,497.52
  5. Step 5: Solve for x
    x = 20,153,472,497.52/189,294
  6. Step 6: Final answer
    x = 106,466.52

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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.