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Finding the Fourth Proportional to 136,661.84, 188,594.76 and 76,238

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Solution

The fourth proportional to 136,661.84, 188,594.76 and 76,238 is: 105,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,661.84 : 188,594.76 = 76,238 : x
  2. Step 2: Convert to fraction form
    136,661.84/188,594.76 = 76,238/x
  3. Step 3: Cross multiply
    136,661.84x = 188,594.76 × 76,238
  4. Step 4: Simplify right side
    136,661.84x = 14,378,087,312.88
  5. Step 5: Solve for x
    x = 14,378,087,312.88/136,661.84
  6. Step 6: Final answer
    x = 105,209.23

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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.