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Finding the Fourth Proportional to 213,519.72, 320,368.54 and 93,662.76

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Solution

The fourth proportional to 213,519.72, 320,368.54 and 93,662.76 is: 140,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,519.72 : 320,368.54 = 93,662.76 : x
  2. Step 2: Convert to fraction form
    213,519.72/320,368.54 = 93,662.76/x
  3. Step 3: Cross multiply
    213,519.72x = 320,368.54 × 93,662.76
  4. Step 4: Simplify right side
    213,519.72x = 30,006,601,673.57
  5. Step 5: Solve for x
    x = 30,006,601,673.57/213,519.72
  6. Step 6: Final answer
    x = 140,533.16

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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.