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Finding the Fourth Proportional to 213,745.40, 320,180.70 and 108,623.60

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Solution

The fourth proportional to 213,745.40, 320,180.70 and 108,623.60 is: 162,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.40 : 320,180.70 = 108,623.60 : x
  2. Step 2: Convert to fraction form
    213,745.40/320,180.70 = 108,623.60/x
  3. Step 3: Cross multiply
    213,745.40x = 320,180.70 × 108,623.60
  4. Step 4: Simplify right side
    213,745.40x = 34,779,180,284.52
  5. Step 5: Solve for x
    x = 34,779,180,284.52/213,745.40
  6. Step 6: Final answer
    x = 162,713.12

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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.