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Finding the Fourth Proportional to 74,742.65, 103,143.58 and 40,751.40

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Solution

The fourth proportional to 74,742.65, 103,143.58 and 40,751.40 is: 56,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,742.65 : 103,143.58 = 40,751.40 : x
  2. Step 2: Convert to fraction form
    74,742.65/103,143.58 = 40,751.40/x
  3. Step 3: Cross multiply
    74,742.65x = 103,143.58 × 40,751.40
  4. Step 4: Simplify right side
    74,742.65x = 4,203,245,570.92
  5. Step 5: Solve for x
    x = 4,203,245,570.92/74,742.65
  6. Step 6: Final answer
    x = 56,236.24

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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.