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Finding the Fourth Proportional to 213,768.30, 320,608.71 and 73,537.86

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Solution

The fourth proportional to 213,768.30, 320,608.71 and 73,537.86 is: 110,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,768.30 : 320,608.71 = 73,537.86 : x
  2. Step 2: Convert to fraction form
    213,768.30/320,608.71 = 73,537.86/x
  3. Step 3: Cross multiply
    213,768.30x = 320,608.71 × 73,537.86
  4. Step 4: Simplify right side
    213,768.30x = 23,576,878,430.76
  5. Step 5: Solve for x
    x = 23,576,878,430.76/213,768.30
  6. Step 6: Final answer
    x = 110,291.74

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1.5x scale

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.