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Finding the Fourth Proportional to 121,152.92, 181,738.74 and 36,920.30

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Solution

The fourth proportional to 121,152.92, 181,738.74 and 36,920.30 is: 55,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,152.92 : 181,738.74 = 36,920.30 : x
  2. Step 2: Convert to fraction form
    121,152.92/181,738.74 = 36,920.30/x
  3. Step 3: Cross multiply
    121,152.92x = 181,738.74 × 36,920.30
  4. Step 4: Simplify right side
    121,152.92x = 6,709,848,802.42
  5. Step 5: Solve for x
    x = 6,709,848,802.42/121,152.92
  6. Step 6: Final answer
    x = 55,383.30

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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.