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Finding the Fourth Proportional to 82,640, 124,409.68 and 75,291.68

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Solution

The fourth proportional to 82,640, 124,409.68 and 75,291.68 is: 113,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640 : 124,409.68 = 75,291.68 : x
  2. Step 2: Convert to fraction form
    82,640/124,409.68 = 75,291.68/x
  3. Step 3: Cross multiply
    82,640x = 124,409.68 × 75,291.68
  4. Step 4: Simplify right side
    82,640x = 9,367,013,815.46
  5. Step 5: Solve for x
    x = 9,367,013,815.46/82,640
  6. Step 6: Final answer
    x = 113,347.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.