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Finding the Fourth Proportional to 150,039.12, 207,051.48 and 82,971.12

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Solution

The fourth proportional to 150,039.12, 207,051.48 and 82,971.12 is: 114,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039.12 : 207,051.48 = 82,971.12 : x
  2. Step 2: Convert to fraction form
    150,039.12/207,051.48 = 82,971.12/x
  3. Step 3: Cross multiply
    150,039.12x = 207,051.48 × 82,971.12
  4. Step 4: Simplify right side
    150,039.12x = 17,179,293,193.26
  5. Step 5: Solve for x
    x = 17,179,293,193.26/150,039.12
  6. Step 6: Final answer
    x = 114,498.76

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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.