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Finding the Fourth Proportional to 162,288.48, 223,932 and 90,664.80

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Solution

The fourth proportional to 162,288.48, 223,932 and 90,664.80 is: 125,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,288.48 : 223,932 = 90,664.80 : x
  2. Step 2: Convert to fraction form
    162,288.48/223,932 = 90,664.80/x
  3. Step 3: Cross multiply
    162,288.48x = 223,932 × 90,664.80
  4. Step 4: Simplify right side
    162,288.48x = 20,302,749,993.60
  5. Step 5: Solve for x
    x = 20,302,749,993.60/162,288.48
  6. Step 6: Final answer
    x = 125,102.84

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1.5x scale

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.