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Finding the Fourth Proportional to 150,255.75, 207,359.79 and 83,187.75

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Solution

The fourth proportional to 150,255.75, 207,359.79 and 83,187.75 is: 114,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,255.75 : 207,359.79 = 83,187.75 : x
  2. Step 2: Convert to fraction form
    150,255.75/207,359.79 = 83,187.75/x
  3. Step 3: Cross multiply
    150,255.75x = 207,359.79 × 83,187.75
  4. Step 4: Simplify right side
    150,255.75x = 17,249,794,370.57
  5. Step 5: Solve for x
    x = 17,249,794,370.57/150,255.75
  6. Step 6: Final answer
    x = 114,802.89

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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.