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Finding the Fourth Proportional to 100,206.84, 138,308.12 and 62,473.80

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Solution

The fourth proportional to 100,206.84, 138,308.12 and 62,473.80 is: 86,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.84 : 138,308.12 = 62,473.80 : x
  2. Step 2: Convert to fraction form
    100,206.84/138,308.12 = 62,473.80/x
  3. Step 3: Cross multiply
    100,206.84x = 138,308.12 × 62,473.80
  4. Step 4: Simplify right side
    100,206.84x = 8,640,633,827.26
  5. Step 5: Solve for x
    x = 8,640,633,827.26/100,206.84
  6. Step 6: Final answer
    x = 86,227.98

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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.