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Finding the Fourth Proportional to 136,851.84, 188,848.32 and 77,232

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Solution

The fourth proportional to 136,851.84, 188,848.32 and 77,232 is: 106,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,851.84 : 188,848.32 = 77,232 : x
  2. Step 2: Convert to fraction form
    136,851.84/188,848.32 = 77,232/x
  3. Step 3: Cross multiply
    136,851.84x = 188,848.32 × 77,232
  4. Step 4: Simplify right side
    136,851.84x = 14,585,133,450.24
  5. Step 5: Solve for x
    x = 14,585,133,450.24/136,851.84
  6. Step 6: Final answer
    x = 106,576.09

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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.