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Finding the Fourth Proportional to 120,852, 181,148.40 and 58,384.80

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Solution

The fourth proportional to 120,852, 181,148.40 and 58,384.80 is: 87,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,852 : 181,148.40 = 58,384.80 : x
  2. Step 2: Convert to fraction form
    120,852/181,148.40 = 58,384.80/x
  3. Step 3: Cross multiply
    120,852x = 181,148.40 × 58,384.80
  4. Step 4: Simplify right side
    120,852x = 10,576,313,104.32
  5. Step 5: Solve for x
    x = 10,576,313,104.32/120,852
  6. Step 6: Final answer
    x = 87,514.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.