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Finding the Fourth Proportional to 150,409.56, 207,565 and 82,430.80

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Solution

The fourth proportional to 150,409.56, 207,565 and 82,430.80 is: 113,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409.56 : 207,565 = 82,430.80 : x
  2. Step 2: Convert to fraction form
    150,409.56/207,565 = 82,430.80/x
  3. Step 3: Cross multiply
    150,409.56x = 207,565 × 82,430.80
  4. Step 4: Simplify right side
    150,409.56x = 17,109,749,002
  5. Step 5: Solve for x
    x = 17,109,749,002/150,409.56
  6. Step 6: Final answer
    x = 113,754.40

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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.