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Finding the Fourth Proportional to 84,636.80, 116,745.72 and 54,461.36

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Solution

The fourth proportional to 84,636.80, 116,745.72 and 54,461.36 is: 75,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,636.80 : 116,745.72 = 54,461.36 : x
  2. Step 2: Convert to fraction form
    84,636.80/116,745.72 = 54,461.36/x
  3. Step 3: Cross multiply
    84,636.80x = 116,745.72 × 54,461.36
  4. Step 4: Simplify right side
    84,636.80x = 6,358,130,685.38
  5. Step 5: Solve for x
    x = 6,358,130,685.38/84,636.80
  6. Step 6: Final answer
    x = 75,122.53

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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.