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Finding the Fourth Proportional to 74,066.78, 102,212.16 and 40,532.78

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Solution

The fourth proportional to 74,066.78, 102,212.16 and 40,532.78 is: 55,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,066.78 : 102,212.16 = 40,532.78 : x
  2. Step 2: Convert to fraction form
    74,066.78/102,212.16 = 40,532.78/x
  3. Step 3: Cross multiply
    74,066.78x = 102,212.16 × 40,532.78
  4. Step 4: Simplify right side
    74,066.78x = 4,142,942,994.60
  5. Step 5: Solve for x
    x = 4,142,942,994.60/74,066.78
  6. Step 6: Final answer
    x = 55,935.24

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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.