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Finding the Fourth Proportional to 73,981, 102,094.14 and 40,447

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Solution

The fourth proportional to 73,981, 102,094.14 and 40,447 is: 55,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981 : 102,094.14 = 40,447 : x
  2. Step 2: Convert to fraction form
    73,981/102,094.14 = 40,447/x
  3. Step 3: Cross multiply
    73,981x = 102,094.14 × 40,447
  4. Step 4: Simplify right side
    73,981x = 4,129,401,680.58
  5. Step 5: Solve for x
    x = 4,129,401,680.58/73,981
  6. Step 6: Final answer
    x = 55,817.06

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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.