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Finding the Fourth Proportional to 136,152, 187,889.76 and 76,536

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Solution

The fourth proportional to 136,152, 187,889.76 and 76,536 is: 105,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,152 : 187,889.76 = 76,536 : x
  2. Step 2: Convert to fraction form
    136,152/187,889.76 = 76,536/x
  3. Step 3: Cross multiply
    136,152x = 187,889.76 × 76,536
  4. Step 4: Simplify right side
    136,152x = 14,380,330,671.36
  5. Step 5: Solve for x
    x = 14,380,330,671.36/136,152
  6. Step 6: Final answer
    x = 105,619.68

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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.