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Finding the Fourth Proportional to 74,955, 103,438.18 and 41,421

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Solution

The fourth proportional to 74,955, 103,438.18 and 41,421 is: 57,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,955 : 103,438.18 = 41,421 : x
  2. Step 2: Convert to fraction form
    74,955/103,438.18 = 41,421/x
  3. Step 3: Cross multiply
    74,955x = 103,438.18 × 41,421
  4. Step 4: Simplify right side
    74,955x = 4,284,512,853.78
  5. Step 5: Solve for x
    x = 4,284,512,853.78/74,955
  6. Step 6: Final answer
    x = 57,161.13

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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.