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Finding the Fourth Proportional to 75,486.15, 113,228.82 and 19,326.15

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Solution

The fourth proportional to 75,486.15, 113,228.82 and 19,326.15 is: 28,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.15 : 113,228.82 = 19,326.15 : x
  2. Step 2: Convert to fraction form
    75,486.15/113,228.82 = 19,326.15/x
  3. Step 3: Cross multiply
    75,486.15x = 113,228.82 × 19,326.15
  4. Step 4: Simplify right side
    75,486.15x = 2,188,277,159.64
  5. Step 5: Solve for x
    x = 2,188,277,159.64/75,486.15
  6. Step 6: Final answer
    x = 28,989.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.