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Finding the Fourth Proportional to 74,451, 102,742.38 and 40,917

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Solution

The fourth proportional to 74,451, 102,742.38 and 40,917 is: 56,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,451 : 102,742.38 = 40,917 : x
  2. Step 2: Convert to fraction form
    74,451/102,742.38 = 40,917/x
  3. Step 3: Cross multiply
    74,451x = 102,742.38 × 40,917
  4. Step 4: Simplify right side
    74,451x = 4,203,909,962.46
  5. Step 5: Solve for x
    x = 4,203,909,962.46/74,451
  6. Step 6: Final answer
    x = 56,465.46

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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.