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Finding the Fourth Proportional to 213,641.34, 320,461.61 and 80,551.46

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Solution

The fourth proportional to 213,641.34, 320,461.61 and 80,551.46 is: 120,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,641.34 : 320,461.61 = 80,551.46 : x
  2. Step 2: Convert to fraction form
    213,641.34/320,461.61 = 80,551.46/x
  3. Step 3: Cross multiply
    213,641.34x = 320,461.61 × 80,551.46
  4. Step 4: Simplify right side
    213,641.34x = 25,813,648,554.39
  5. Step 5: Solve for x
    x = 25,813,648,554.39/213,641.34
  6. Step 6: Final answer
    x = 120,827.03

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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.