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Finding the Fourth Proportional to 213,634.30, 320,427.15 and 55,878.70

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Solution

The fourth proportional to 213,634.30, 320,427.15 and 55,878.70 is: 83,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,634.30 : 320,427.15 = 55,878.70 : x
  2. Step 2: Convert to fraction form
    213,634.30/320,427.15 = 55,878.70/x
  3. Step 3: Cross multiply
    213,634.30x = 320,427.15 × 55,878.70
  4. Step 4: Simplify right side
    213,634.30x = 17,905,052,586.71
  5. Step 5: Solve for x
    x = 17,905,052,586.71/213,634.30
  6. Step 6: Final answer
    x = 83,811.69

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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.