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Finding the Fourth Proportional to 13,830,045.20, 20,745,067.80 and 10,470,813.20

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Solution

The fourth proportional to 13,830,045.20, 20,745,067.80 and 10,470,813.20 is: 15,706,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,045.20 : 20,745,067.80 = 10,470,813.20 : x
  2. Step 2: Convert to fraction form
    13,830,045.20/20,745,067.80 = 10,470,813.20/x
  3. Step 3: Cross multiply
    13,830,045.20x = 20,745,067.80 × 10,470,813.20
  4. Step 4: Simplify right side
    13,830,045.20x = 217,217,729,755,134.94
  5. Step 5: Solve for x
    x = 217,217,729,755,134.94/13,830,045.20
  6. Step 6: Final answer
    x = 15,706,219.80

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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.