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Finding the Fourth Proportional to 162,790.40, 224,640.06 and 91,154

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Solution

The fourth proportional to 162,790.40, 224,640.06 and 91,154 is: 125,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,790.40 : 224,640.06 = 91,154 : x
  2. Step 2: Convert to fraction form
    162,790.40/224,640.06 = 91,154/x
  3. Step 3: Cross multiply
    162,790.40x = 224,640.06 × 91,154
  4. Step 4: Simplify right side
    162,790.40x = 20,476,840,029.24
  5. Step 5: Solve for x
    x = 20,476,840,029.24/162,790.40
  6. Step 6: Final answer
    x = 125,786.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.