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Finding the Fourth Proportional to 100,212.84, 138,166.29 and 71,566.79

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Solution

The fourth proportional to 100,212.84, 138,166.29 and 71,566.79 is: 98,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.84 : 138,166.29 = 71,566.79 : x
  2. Step 2: Convert to fraction form
    100,212.84/138,166.29 = 71,566.79/x
  3. Step 3: Cross multiply
    100,212.84x = 138,166.29 × 71,566.79
  4. Step 4: Simplify right side
    100,212.84x = 9,888,117,170.68
  5. Step 5: Solve for x
    x = 9,888,117,170.68/100,212.84
  6. Step 6: Final answer
    x = 98,671.16

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1.5x scale

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.