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Finding the Fourth Proportional to 74,403.66, 102,677.81 and 40,412.48

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Solution

The fourth proportional to 74,403.66, 102,677.81 and 40,412.48 is: 55,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,403.66 : 102,677.81 = 40,412.48 : x
  2. Step 2: Convert to fraction form
    74,403.66/102,677.81 = 40,412.48/x
  3. Step 3: Cross multiply
    74,403.66x = 102,677.81 × 40,412.48
  4. Step 4: Simplify right side
    74,403.66x = 4,149,464,943.07
  5. Step 5: Solve for x
    x = 4,149,464,943.07/74,403.66
  6. Step 6: Final answer
    x = 55,769.63

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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.