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Finding the Fourth Proportional to 130,338, 179,866.44 and 70,722

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Solution

The fourth proportional to 130,338, 179,866.44 and 70,722 is: 97,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338 : 179,866.44 = 70,722 : x
  2. Step 2: Convert to fraction form
    130,338/179,866.44 = 70,722/x
  3. Step 3: Cross multiply
    130,338x = 179,866.44 × 70,722
  4. Step 4: Simplify right side
    130,338x = 12,720,514,369.68
  5. Step 5: Solve for x
    x = 12,720,514,369.68/130,338
  6. Step 6: Final answer
    x = 97,596.36

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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.