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Finding the Fourth Proportional to 150,188.50, 207,260.74 and 83,120.50

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Solution

The fourth proportional to 150,188.50, 207,260.74 and 83,120.50 is: 114,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,188.50 : 207,260.74 = 83,120.50 : x
  2. Step 2: Convert to fraction form
    150,188.50/207,260.74 = 83,120.50/x
  3. Step 3: Cross multiply
    150,188.50x = 207,260.74 × 83,120.50
  4. Step 4: Simplify right side
    150,188.50x = 17,227,616,339.17
  5. Step 5: Solve for x
    x = 17,227,616,339.17/150,188.50
  6. Step 6: Final answer
    x = 114,706.63

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1.5x scale

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.