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Finding the Fourth Proportional to 74,647.71, 103,014.45 and 40,656.33

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Solution

The fourth proportional to 74,647.71, 103,014.45 and 40,656.33 is: 56,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,647.71 : 103,014.45 = 40,656.33 : x
  2. Step 2: Convert to fraction form
    74,647.71/103,014.45 = 40,656.33/x
  3. Step 3: Cross multiply
    74,647.71x = 103,014.45 × 40,656.33
  4. Step 4: Simplify right side
    74,647.71x = 4,188,189,473.97
  5. Step 5: Solve for x
    x = 4,188,189,473.97/74,647.71
  6. Step 6: Final answer
    x = 56,106.07

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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.