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Finding the Fourth Proportional to 130,596, 180,239.04 and 73,257.36

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Solution

The fourth proportional to 130,596, 180,239.04 and 73,257.36 is: 101,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,596 : 180,239.04 = 73,257.36 : x
  2. Step 2: Convert to fraction form
    130,596/180,239.04 = 73,257.36/x
  3. Step 3: Cross multiply
    130,596x = 180,239.04 × 73,257.36
  4. Step 4: Simplify right side
    130,596x = 13,203,836,239.33
  5. Step 5: Solve for x
    x = 13,203,836,239.33/130,596
  6. Step 6: Final answer
    x = 101,104.45

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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.