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Finding the Fourth Proportional to 136,659.84, 188,592 and 76,236

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Solution

The fourth proportional to 136,659.84, 188,592 and 76,236 is: 105,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,659.84 : 188,592 = 76,236 : x
  2. Step 2: Convert to fraction form
    136,659.84/188,592 = 76,236/x
  3. Step 3: Cross multiply
    136,659.84x = 188,592 × 76,236
  4. Step 4: Simplify right side
    136,659.84x = 14,377,499,712
  5. Step 5: Solve for x
    x = 14,377,499,712/136,659.84
  6. Step 6: Final answer
    x = 105,206.47

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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.