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Finding the Fourth Proportional to 74,781.63, 103,173.12 and 42,513

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Solution

The fourth proportional to 74,781.63, 103,173.12 and 42,513 is: 58,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,781.63 : 103,173.12 = 42,513 : x
  2. Step 2: Convert to fraction form
    74,781.63/103,173.12 = 42,513/x
  3. Step 3: Cross multiply
    74,781.63x = 103,173.12 × 42,513
  4. Step 4: Simplify right side
    74,781.63x = 4,386,198,850.56
  5. Step 5: Solve for x
    x = 4,386,198,850.56/74,781.63
  6. Step 6: Final answer
    x = 58,653.43

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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.