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Finding the Fourth Proportional to 83,212.40, 124,745.70 and 49,897.10

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Solution

The fourth proportional to 83,212.40, 124,745.70 and 49,897.10 is: 74,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.40 : 124,745.70 = 49,897.10 : x
  2. Step 2: Convert to fraction form
    83,212.40/124,745.70 = 49,897.10/x
  3. Step 3: Cross multiply
    83,212.40x = 124,745.70 × 49,897.10
  4. Step 4: Simplify right side
    83,212.40x = 6,224,448,667.47
  5. Step 5: Solve for x
    x = 6,224,448,667.47/83,212.40
  6. Step 6: Final answer
    x = 74,801.94

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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.