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Finding the Fourth Proportional to 165,474.28, 248,315.10 and 66,978.28

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Solution

The fourth proportional to 165,474.28, 248,315.10 and 66,978.28 is: 100,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,474.28 : 248,315.10 = 66,978.28 : x
  2. Step 2: Convert to fraction form
    165,474.28/248,315.10 = 66,978.28/x
  3. Step 3: Cross multiply
    165,474.28x = 248,315.10 × 66,978.28
  4. Step 4: Simplify right side
    165,474.28x = 16,631,718,296.03
  5. Step 5: Solve for x
    x = 16,631,718,296.03/165,474.28
  6. Step 6: Final answer
    x = 100,509.39

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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.