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Finding the Fourth Proportional to 52,856, 72,943.49 and 28,983.59

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Solution

The fourth proportional to 52,856, 72,943.49 and 28,983.59 is: 39,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,856 : 72,943.49 = 28,983.59 : x
  2. Step 2: Convert to fraction form
    52,856/72,943.49 = 28,983.59/x
  3. Step 3: Cross multiply
    52,856x = 72,943.49 × 28,983.59
  4. Step 4: Simplify right side
    52,856x = 2,114,164,207.33
  5. Step 5: Solve for x
    x = 2,114,164,207.33/52,856
  6. Step 6: Final answer
    x = 39,998.57

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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.