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Finding the Fourth Proportional to 118,991.40, 178,639.23 and 102,231.63

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Solution

The fourth proportional to 118,991.40, 178,639.23 and 102,231.63 is: 153,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,991.40 : 178,639.23 = 102,231.63 : x
  2. Step 2: Convert to fraction form
    118,991.40/178,639.23 = 102,231.63/x
  3. Step 3: Cross multiply
    118,991.40x = 178,639.23 × 102,231.63
  4. Step 4: Simplify right side
    118,991.40x = 18,262,579,664.84
  5. Step 5: Solve for x
    x = 18,262,579,664.84/118,991.40
  6. Step 6: Final answer
    x = 153,478.15

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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.