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Finding the Fourth Proportional to 154,878.36, 213,852.54 and 119,011.80

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Solution

The fourth proportional to 154,878.36, 213,852.54 and 119,011.80 is: 164,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,878.36 : 213,852.54 = 119,011.80 : x
  2. Step 2: Convert to fraction form
    154,878.36/213,852.54 = 119,011.80/x
  3. Step 3: Cross multiply
    154,878.36x = 213,852.54 × 119,011.80
  4. Step 4: Simplify right side
    154,878.36x = 25,450,975,719.97
  5. Step 5: Solve for x
    x = 25,450,975,719.97/154,878.36
  6. Step 6: Final answer
    x = 164,328.80

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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.