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Finding the Fourth Proportional to 99,638.51, 137,539.52 and 72,992.64

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Solution

The fourth proportional to 99,638.51, 137,539.52 and 72,992.64 is: 100,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638.51 : 137,539.52 = 72,992.64 : x
  2. Step 2: Convert to fraction form
    99,638.51/137,539.52 = 72,992.64/x
  3. Step 3: Cross multiply
    99,638.51x = 137,539.52 × 72,992.64
  4. Step 4: Simplify right side
    99,638.51x = 10,039,373,093.67
  5. Step 5: Solve for x
    x = 10,039,373,093.67/99,638.51
  6. Step 6: Final answer
    x = 100,757.97

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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.