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Finding the Fourth Proportional to 136,752, 188,718 and 77,136

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Solution

The fourth proportional to 136,752, 188,718 and 77,136 is: 106,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,752 : 188,718 = 77,136 : x
  2. Step 2: Convert to fraction form
    136,752/188,718 = 77,136/x
  3. Step 3: Cross multiply
    136,752x = 188,718 × 77,136
  4. Step 4: Simplify right side
    136,752x = 14,556,951,648
  5. Step 5: Solve for x
    x = 14,556,951,648/136,752
  6. Step 6: Final answer
    x = 106,447.82

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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.