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Finding the Fourth Proportional to 150,705.38, 207,973.43 and 83,637.38

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Solution

The fourth proportional to 150,705.38, 207,973.43 and 83,637.38 is: 115,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,705.38 : 207,973.43 = 83,637.38 : x
  2. Step 2: Convert to fraction form
    150,705.38/207,973.43 = 83,637.38/x
  3. Step 3: Cross multiply
    150,705.38x = 207,973.43 × 83,637.38
  4. Step 4: Simplify right side
    150,705.38x = 17,394,351,336.76
  5. Step 5: Solve for x
    x = 17,394,351,336.76/150,705.38
  6. Step 6: Final answer
    x = 115,419.58

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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.