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Finding the Fourth Proportional to 100,483.84, 138,658 and 60,196.96

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Solution

The fourth proportional to 100,483.84, 138,658 and 60,196.96 is: 83,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,483.84 : 138,658 = 60,196.96 : x
  2. Step 2: Convert to fraction form
    100,483.84/138,658 = 60,196.96/x
  3. Step 3: Cross multiply
    100,483.84x = 138,658 × 60,196.96
  4. Step 4: Simplify right side
    100,483.84x = 8,346,790,079.68
  5. Step 5: Solve for x
    x = 8,346,790,079.68/100,483.84
  6. Step 6: Final answer
    x = 83,065.99

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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.