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Finding the Fourth Proportional to 30,657.40, 45,986.10 and 20,159.80

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Solution

The fourth proportional to 30,657.40, 45,986.10 and 20,159.80 is: 30,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.40 : 45,986.10 = 20,159.80 : x
  2. Step 2: Convert to fraction form
    30,657.40/45,986.10 = 20,159.80/x
  3. Step 3: Cross multiply
    30,657.40x = 45,986.10 × 20,159.80
  4. Step 4: Simplify right side
    30,657.40x = 927,070,578.78
  5. Step 5: Solve for x
    x = 927,070,578.78/30,657.40
  6. Step 6: Final answer
    x = 30,239.70

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Similar ratio
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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.