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Finding the Fourth Proportional to 213,793.80, 320,690.70 and 56,038.20

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Solution

The fourth proportional to 213,793.80, 320,690.70 and 56,038.20 is: 84,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.80 : 320,690.70 = 56,038.20 : x
  2. Step 2: Convert to fraction form
    213,793.80/320,690.70 = 56,038.20/x
  3. Step 3: Cross multiply
    213,793.80x = 320,690.70 × 56,038.20
  4. Step 4: Simplify right side
    213,793.80x = 17,970,929,584.74
  5. Step 5: Solve for x
    x = 17,970,929,584.74/213,793.80
  6. Step 6: Final answer
    x = 84,057.30

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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.