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Finding the Fourth Proportional to 213,809.92, 320,711.44 and 73,569.76

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Solution

The fourth proportional to 213,809.92, 320,711.44 and 73,569.76 is: 110,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809.92 : 320,711.44 = 73,569.76 : x
  2. Step 2: Convert to fraction form
    213,809.92/320,711.44 = 73,569.76/x
  3. Step 3: Cross multiply
    213,809.92x = 320,711.44 × 73,569.76
  4. Step 4: Simplify right side
    213,809.92x = 23,594,663,670.05
  5. Step 5: Solve for x
    x = 23,594,663,670.05/213,809.92
  6. Step 6: Final answer
    x = 110,353.46

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1.5x scale

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.