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Finding the Fourth Proportional to 69,856.80, 96,400.80 and 38,025.60

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Solution

The fourth proportional to 69,856.80, 96,400.80 and 38,025.60 is: 52,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,856.80 : 96,400.80 = 38,025.60 : x
  2. Step 2: Convert to fraction form
    69,856.80/96,400.80 = 38,025.60/x
  3. Step 3: Cross multiply
    69,856.80x = 96,400.80 × 38,025.60
  4. Step 4: Simplify right side
    69,856.80x = 3,665,698,260.48
  5. Step 5: Solve for x
    x = 3,665,698,260.48/69,856.80
  6. Step 6: Final answer
    x = 52,474.47

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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.