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Finding the Fourth Proportional to 120,920.34, 181,293.84 and 56,842.59

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Solution

The fourth proportional to 120,920.34, 181,293.84 and 56,842.59 is: 85,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,920.34 : 181,293.84 = 56,842.59 : x
  2. Step 2: Convert to fraction form
    120,920.34/181,293.84 = 56,842.59/x
  3. Step 3: Cross multiply
    120,920.34x = 181,293.84 × 56,842.59
  4. Step 4: Simplify right side
    120,920.34x = 10,305,211,416.65
  5. Step 5: Solve for x
    x = 10,305,211,416.65/120,920.34
  6. Step 6: Final answer
    x = 85,223.14

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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.