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Finding the Fourth Proportional to 213,347.40, 320,025.96 and 73,104

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Solution

The fourth proportional to 213,347.40, 320,025.96 and 73,104 is: 109,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,347.40 : 320,025.96 = 73,104 : x
  2. Step 2: Convert to fraction form
    213,347.40/320,025.96 = 73,104/x
  3. Step 3: Cross multiply
    213,347.40x = 320,025.96 × 73,104
  4. Step 4: Simplify right side
    213,347.40x = 23,395,177,779.84
  5. Step 5: Solve for x
    x = 23,395,177,779.84/213,347.40
  6. Step 6: Final answer
    x = 109,657.67

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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.