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Finding the Fourth Proportional to 100,984.02, 139,357.23 and 55,662

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Solution

The fourth proportional to 100,984.02, 139,357.23 and 55,662 is: 76,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,984.02 : 139,357.23 = 55,662 : x
  2. Step 2: Convert to fraction form
    100,984.02/139,357.23 = 55,662/x
  3. Step 3: Cross multiply
    100,984.02x = 139,357.23 × 55,662
  4. Step 4: Simplify right side
    100,984.02x = 7,756,902,136.26
  5. Step 5: Solve for x
    x = 7,756,902,136.26/100,984.02
  6. Step 6: Final answer
    x = 76,813.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.