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Finding the Fourth Proportional to 103,136.36, 154,715.34 and 43,978.28

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Solution

The fourth proportional to 103,136.36, 154,715.34 and 43,978.28 is: 65,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,136.36 : 154,715.34 = 43,978.28 : x
  2. Step 2: Convert to fraction form
    103,136.36/154,715.34 = 43,978.28/x
  3. Step 3: Cross multiply
    103,136.36x = 154,715.34 × 43,978.28
  4. Step 4: Simplify right side
    103,136.36x = 6,804,114,542.82
  5. Step 5: Solve for x
    x = 6,804,114,542.82/103,136.36
  6. Step 6: Final answer
    x = 65,972.03

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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.