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Finding the Fourth Proportional to 213,607.77, 320,223.10 and 80,581.45

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Solution

The fourth proportional to 213,607.77, 320,223.10 and 80,581.45 is: 120,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,607.77 : 320,223.10 = 80,581.45 : x
  2. Step 2: Convert to fraction form
    213,607.77/320,223.10 = 80,581.45/x
  3. Step 3: Cross multiply
    213,607.77x = 320,223.10 × 80,581.45
  4. Step 4: Simplify right side
    213,607.77x = 25,804,041,244.36
  5. Step 5: Solve for x
    x = 25,804,041,244.36/213,607.77
  6. Step 6: Final answer
    x = 120,801.04

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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.