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Finding the Fourth Proportional to 77,702,976.80, 108,943,420 and 77,702,976.80

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Solution

The fourth proportional to 77,702,976.80, 108,943,420 and 77,702,976.80 is: 108,943,420

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702,976.80 : 108,943,420 = 77,702,976.80 : x
  2. Step 2: Convert to fraction form
    77,702,976.80/108,943,420 = 77,702,976.80/x
  3. Step 3: Cross multiply
    77,702,976.80x = 108,943,420 × 77,702,976.80
  4. Step 4: Simplify right side
    77,702,976.80x = 8,465,228,036,772,656
  5. Step 5: Solve for x
    x = 8,465,228,036,772,656/77,702,976.80
  6. Step 6: Final answer
    x = 108,943,420

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.