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Finding the Fourth Proportional to 150,679, 207,946.74 and 83,611

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Solution

The fourth proportional to 150,679, 207,946.74 and 83,611 is: 115,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,679 : 207,946.74 = 83,611 : x
  2. Step 2: Convert to fraction form
    150,679/207,946.74 = 83,611/x
  3. Step 3: Cross multiply
    150,679x = 207,946.74 × 83,611
  4. Step 4: Simplify right side
    150,679x = 17,386,634,878.14
  5. Step 5: Solve for x
    x = 17,386,634,878.14/150,679
  6. Step 6: Final answer
    x = 115,388.57

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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.