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Finding the Fourth Proportional to 62,362, 93,543.81 and 20,809

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Solution

The fourth proportional to 62,362, 93,543.81 and 20,809 is: 31,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,362 : 93,543.81 = 20,809 : x
  2. Step 2: Convert to fraction form
    62,362/93,543.81 = 20,809/x
  3. Step 3: Cross multiply
    62,362x = 93,543.81 × 20,809
  4. Step 4: Simplify right side
    62,362x = 1,946,553,142.29
  5. Step 5: Solve for x
    x = 1,946,553,142.29/62,362
  6. Step 6: Final answer
    x = 31,213.77

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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.