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Finding the Fourth Proportional to 47,798,328.80, 71,697,382.80 and 20,486,912.48

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Solution

The fourth proportional to 47,798,328.80, 71,697,382.80 and 20,486,912.48 is: 30,730,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798,328.80 : 71,697,382.80 = 20,486,912.48 : x
  2. Step 2: Convert to fraction form
    47,798,328.80/71,697,382.80 = 20,486,912.48/x
  3. Step 3: Cross multiply
    47,798,328.80x = 71,697,382.80 × 20,486,912.48
  4. Step 4: Simplify right side
    47,798,328.80x = 1,468,858,006,468,657.25
  5. Step 5: Solve for x
    x = 1,468,858,006,468,657.25/47,798,328.80
  6. Step 6: Final answer
    x = 30,730,321.40

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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.