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Finding the Fourth Proportional to 78,166,992.80, 117,251,486.40 and 20,658,766.88

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Solution

The fourth proportional to 78,166,992.80, 117,251,486.40 and 20,658,766.88 is: 30,988,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166,992.80 : 117,251,486.40 = 20,658,766.88 : x
  2. Step 2: Convert to fraction form
    78,166,992.80/117,251,486.40 = 20,658,766.88/x
  3. Step 3: Cross multiply
    78,166,992.80x = 117,251,486.40 × 20,658,766.88
  4. Step 4: Simplify right side
    78,166,992.80x = 2,422,271,123,871,090.50
  5. Step 5: Solve for x
    x = 2,422,271,123,871,090.50/78,166,992.80
  6. Step 6: Final answer
    x = 30,988,413.87

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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.