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Finding the Fourth Proportional to 46,378.80, 69,573.06 and 20,086.20

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Solution

The fourth proportional to 46,378.80, 69,573.06 and 20,086.20 is: 30,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378.80 : 69,573.06 = 20,086.20 : x
  2. Step 2: Convert to fraction form
    46,378.80/69,573.06 = 20,086.20/x
  3. Step 3: Cross multiply
    46,378.80x = 69,573.06 × 20,086.20
  4. Step 4: Simplify right side
    46,378.80x = 1,397,458,397.77
  5. Step 5: Solve for x
    x = 1,397,458,397.77/46,378.80
  6. Step 6: Final answer
    x = 30,131.40

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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.