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Finding the Fourth Proportional to 213,803.92, 320,702.51 and 73,563.76

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Solution

The fourth proportional to 213,803.92, 320,702.51 and 73,563.76 is: 110,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,803.92 : 320,702.51 = 73,563.76 : x
  2. Step 2: Convert to fraction form
    213,803.92/320,702.51 = 73,563.76/x
  3. Step 3: Cross multiply
    213,803.92x = 320,702.51 × 73,563.76
  4. Step 4: Simplify right side
    213,803.92x = 23,592,082,477.04
  5. Step 5: Solve for x
    x = 23,592,082,477.04/213,803.92
  6. Step 6: Final answer
    x = 110,344.48

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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.