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Finding the Fourth Proportional to 213,878.88, 320,808 and 56,103.84

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Solution

The fourth proportional to 213,878.88, 320,808 and 56,103.84 is: 84,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,878.88 : 320,808 = 56,103.84 : x
  2. Step 2: Convert to fraction form
    213,878.88/320,808 = 56,103.84/x
  3. Step 3: Cross multiply
    213,878.88x = 320,808 × 56,103.84
  4. Step 4: Simplify right side
    213,878.88x = 17,998,560,702.72
  5. Step 5: Solve for x
    x = 17,998,560,702.72/213,878.88
  6. Step 6: Final answer
    x = 84,153.05

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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.