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Finding the Fourth Proportional to 73,926, 102,017.88 and 40,392

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Solution

The fourth proportional to 73,926, 102,017.88 and 40,392 is: 55,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 102,017.88 = 40,392 : x
  2. Step 2: Convert to fraction form
    73,926/102,017.88 = 40,392/x
  3. Step 3: Cross multiply
    73,926x = 102,017.88 × 40,392
  4. Step 4: Simplify right side
    73,926x = 4,120,706,208.96
  5. Step 5: Solve for x
    x = 4,120,706,208.96/73,926
  6. Step 6: Final answer
    x = 55,740.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.