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Finding the Fourth Proportional to 100,914, 139,029.48 and 79,685.52

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Solution

The fourth proportional to 100,914, 139,029.48 and 79,685.52 is: 109,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914 : 139,029.48 = 79,685.52 : x
  2. Step 2: Convert to fraction form
    100,914/139,029.48 = 79,685.52/x
  3. Step 3: Cross multiply
    100,914x = 139,029.48 × 79,685.52
  4. Step 4: Simplify right side
    100,914x = 11,078,636,409.13
  5. Step 5: Solve for x
    x = 11,078,636,409.13/100,914
  6. Step 6: Final answer
    x = 109,782.95

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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.