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Finding the Fourth Proportional to 100,534.56, 150,818.40 and 33,978.72

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Solution

The fourth proportional to 100,534.56, 150,818.40 and 33,978.72 is: 50,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.56 : 150,818.40 = 33,978.72 : x
  2. Step 2: Convert to fraction form
    100,534.56/150,818.40 = 33,978.72/x
  3. Step 3: Cross multiply
    100,534.56x = 150,818.40 × 33,978.72
  4. Step 4: Simplify right side
    100,534.56x = 5,124,616,184.45
  5. Step 5: Solve for x
    x = 5,124,616,184.45/100,534.56
  6. Step 6: Final answer
    x = 50,973.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.