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Finding the Fourth Proportional to 189,336.65, 283,734.30 and 139,021.97

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Solution

The fourth proportional to 189,336.65, 283,734.30 and 139,021.97 is: 208,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,336.65 : 283,734.30 = 139,021.97 : x
  2. Step 2: Convert to fraction form
    189,336.65/283,734.30 = 139,021.97/x
  3. Step 3: Cross multiply
    189,336.65x = 283,734.30 × 139,021.97
  4. Step 4: Simplify right side
    189,336.65x = 39,445,301,342.57
  5. Step 5: Solve for x
    x = 39,445,301,342.57/189,336.65
  6. Step 6: Final answer
    x = 208,334.21

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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.