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Finding the Fourth Proportional to 150,705.84, 208,012.28 and 102,978.48

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Solution

The fourth proportional to 150,705.84, 208,012.28 and 102,978.48 is: 142,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,705.84 : 208,012.28 = 102,978.48 : x
  2. Step 2: Convert to fraction form
    150,705.84/208,012.28 = 102,978.48/x
  3. Step 3: Cross multiply
    150,705.84x = 208,012.28 × 102,978.48
  4. Step 4: Simplify right side
    150,705.84x = 21,420,788,415.73
  5. Step 5: Solve for x
    x = 21,420,788,415.73/150,705.84
  6. Step 6: Final answer
    x = 142,136.42

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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.