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Finding the Fourth Proportional to 78,480,016.80, 117,741,020.40 and 55,805,200.80

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Solution

The fourth proportional to 78,480,016.80, 117,741,020.40 and 55,805,200.80 is: 83,722,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480,016.80 : 117,741,020.40 = 55,805,200.80 : x
  2. Step 2: Convert to fraction form
    78,480,016.80/117,741,020.40 = 55,805,200.80/x
  3. Step 3: Cross multiply
    78,480,016.80x = 117,741,020.40 × 55,805,200.80
  4. Step 4: Simplify right side
    78,480,016.80x = 6,570,561,285,818,896
  5. Step 5: Solve for x
    x = 6,570,561,285,818,896/78,480,016.80
  6. Step 6: Final answer
    x = 83,722,730.37

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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.