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Finding the Fourth Proportional to 136,128, 187,866.24 and 76,512

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Solution

The fourth proportional to 136,128, 187,866.24 and 76,512 is: 105,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128 : 187,866.24 = 76,512 : x
  2. Step 2: Convert to fraction form
    136,128/187,866.24 = 76,512/x
  3. Step 3: Cross multiply
    136,128x = 187,866.24 × 76,512
  4. Step 4: Simplify right side
    136,128x = 14,374,021,754.88
  5. Step 5: Solve for x
    x = 14,374,021,754.88/136,128
  6. Step 6: Final answer
    x = 105,591.96

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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.