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Finding the Fourth Proportional to 162,269.48, 223,915.78 and 90,647.96

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Solution

The fourth proportional to 162,269.48, 223,915.78 and 90,647.96 is: 125,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,269.48 : 223,915.78 = 90,647.96 : x
  2. Step 2: Convert to fraction form
    162,269.48/223,915.78 = 90,647.96/x
  3. Step 3: Cross multiply
    162,269.48x = 223,915.78 × 90,647.96
  4. Step 4: Simplify right side
    162,269.48x = 20,297,508,668.81
  5. Step 5: Solve for x
    x = 20,297,508,668.81/162,269.48
  6. Step 6: Final answer
    x = 125,085.19

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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.