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Finding the Fourth Proportional to 104,792, 157,216.80 and 30,920

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Solution

The fourth proportional to 104,792, 157,216.80 and 30,920 is: 46,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,792 : 157,216.80 = 30,920 : x
  2. Step 2: Convert to fraction form
    104,792/157,216.80 = 30,920/x
  3. Step 3: Cross multiply
    104,792x = 157,216.80 × 30,920
  4. Step 4: Simplify right side
    104,792x = 4,861,143,456
  5. Step 5: Solve for x
    x = 4,861,143,456/104,792
  6. Step 6: Final answer
    x = 46,388.50

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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.