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Finding the Fourth Proportional to 74,871.15, 103,322.54 and 40,880.32

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Solution

The fourth proportional to 74,871.15, 103,322.54 and 40,880.32 is: 56,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871.15 : 103,322.54 = 40,880.32 : x
  2. Step 2: Convert to fraction form
    74,871.15/103,322.54 = 40,880.32/x
  3. Step 3: Cross multiply
    74,871.15x = 103,322.54 × 40,880.32
  4. Step 4: Simplify right side
    74,871.15x = 4,223,858,498.41
  5. Step 5: Solve for x
    x = 4,223,858,498.41/74,871.15
  6. Step 6: Final answer
    x = 56,415.03

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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.