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Finding the Fourth Proportional to 73,968.78, 102,078.48 and 40,434.78

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Solution

The fourth proportional to 73,968.78, 102,078.48 and 40,434.78 is: 55,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968.78 : 102,078.48 = 40,434.78 : x
  2. Step 2: Convert to fraction form
    73,968.78/102,078.48 = 40,434.78/x
  3. Step 3: Cross multiply
    73,968.78x = 102,078.48 × 40,434.78
  4. Step 4: Simplify right side
    73,968.78x = 4,127,520,881.53
  5. Step 5: Solve for x
    x = 4,127,520,881.53/73,968.78
  6. Step 6: Final answer
    x = 55,800.85

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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.