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Finding the Fourth Proportional to 130,212, 179,371.08 and 111,029.31

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Solution

The fourth proportional to 130,212, 179,371.08 and 111,029.31 is: 152,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212 : 179,371.08 = 111,029.31 : x
  2. Step 2: Convert to fraction form
    130,212/179,371.08 = 111,029.31/x
  3. Step 3: Cross multiply
    130,212x = 179,371.08 × 111,029.31
  4. Step 4: Simplify right side
    130,212x = 19,915,447,246.35
  5. Step 5: Solve for x
    x = 19,915,447,246.35/130,212
  6. Step 6: Final answer
    x = 152,946.33

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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.