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Finding the Fourth Proportional to 150,228, 207,314.64 and 83,160

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Solution

The fourth proportional to 150,228, 207,314.64 and 83,160 is: 114,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 207,314.64 = 83,160 : x
  2. Step 2: Convert to fraction form
    150,228/207,314.64 = 83,160/x
  3. Step 3: Cross multiply
    150,228x = 207,314.64 × 83,160
  4. Step 4: Simplify right side
    150,228x = 17,240,285,462.40
  5. Step 5: Solve for x
    x = 17,240,285,462.40/150,228
  6. Step 6: Final answer
    x = 114,760.80

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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.