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Finding the Fourth Proportional to 73,981.50, 102,094.83 and 40,447.50

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Solution

The fourth proportional to 73,981.50, 102,094.83 and 40,447.50 is: 55,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981.50 : 102,094.83 = 40,447.50 : x
  2. Step 2: Convert to fraction form
    73,981.50/102,094.83 = 40,447.50/x
  3. Step 3: Cross multiply
    73,981.50x = 102,094.83 × 40,447.50
  4. Step 4: Simplify right side
    73,981.50x = 4,129,480,636.43
  5. Step 5: Solve for x
    x = 4,129,480,636.43/73,981.50
  6. Step 6: Final answer
    x = 55,817.75

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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.