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Finding the Fourth Proportional to 75,102.84, 103,654.62 and 43,290.23

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Solution

The fourth proportional to 75,102.84, 103,654.62 and 43,290.23 is: 59,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.84 : 103,654.62 = 43,290.23 : x
  2. Step 2: Convert to fraction form
    75,102.84/103,654.62 = 43,290.23/x
  3. Step 3: Cross multiply
    75,102.84x = 103,654.62 × 43,290.23
  4. Step 4: Simplify right side
    75,102.84x = 4,487,231,822.09
  5. Step 5: Solve for x
    x = 4,487,231,822.09/75,102.84
  6. Step 6: Final answer
    x = 59,747.83

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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.