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Finding the Fourth Proportional to 74,942.40, 103,415.52 and 41,407.68

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Solution

The fourth proportional to 74,942.40, 103,415.52 and 41,407.68 is: 57,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.40 : 103,415.52 = 41,407.68 : x
  2. Step 2: Convert to fraction form
    74,942.40/103,415.52 = 41,407.68/x
  3. Step 3: Cross multiply
    74,942.40x = 103,415.52 × 41,407.68
  4. Step 4: Simplify right side
    74,942.40x = 4,282,196,759.19
  5. Step 5: Solve for x
    x = 4,282,196,759.19/74,942.40
  6. Step 6: Final answer
    x = 57,139.84

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1.5x scale

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.