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Finding the Fourth Proportional to 150,425, 207,586.52 and 83,357

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Solution

The fourth proportional to 150,425, 207,586.52 and 83,357 is: 115,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,425 : 207,586.52 = 83,357 : x
  2. Step 2: Convert to fraction form
    150,425/207,586.52 = 83,357/x
  3. Step 3: Cross multiply
    150,425x = 207,586.52 × 83,357
  4. Step 4: Simplify right side
    150,425x = 17,303,789,547.64
  5. Step 5: Solve for x
    x = 17,303,789,547.64/150,425
  6. Step 6: Final answer
    x = 115,032.67

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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.