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Finding the Fourth Proportional to 138,673.84, 191,309.12 and 81,284.07

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Solution

The fourth proportional to 138,673.84, 191,309.12 and 81,284.07 is: 112,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,673.84 : 191,309.12 = 81,284.07 : x
  2. Step 2: Convert to fraction form
    138,673.84/191,309.12 = 81,284.07/x
  3. Step 3: Cross multiply
    138,673.84x = 191,309.12 × 81,284.07
  4. Step 4: Simplify right side
    138,673.84x = 15,550,384,104.93
  5. Step 5: Solve for x
    x = 15,550,384,104.93/138,673.84
  6. Step 6: Final answer
    x = 112,136.39

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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.