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Finding the Fourth Proportional to 56,351, 84,555.66 and 28,649

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Solution

The fourth proportional to 56,351, 84,555.66 and 28,649 is: 42,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,351 : 84,555.66 = 28,649 : x
  2. Step 2: Convert to fraction form
    56,351/84,555.66 = 28,649/x
  3. Step 3: Cross multiply
    56,351x = 84,555.66 × 28,649
  4. Step 4: Simplify right side
    56,351x = 2,422,435,103.34
  5. Step 5: Solve for x
    x = 2,422,435,103.34/56,351
  6. Step 6: Final answer
    x = 42,988.33

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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.