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Finding the Fourth Proportional to 121,368, 182,082.72 and 33,816

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Solution

The fourth proportional to 121,368, 182,082.72 and 33,816 is: 50,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,368 : 182,082.72 = 33,816 : x
  2. Step 2: Convert to fraction form
    121,368/182,082.72 = 33,816/x
  3. Step 3: Cross multiply
    121,368x = 182,082.72 × 33,816
  4. Step 4: Simplify right side
    121,368x = 6,157,309,259.52
  5. Step 5: Solve for x
    x = 6,157,309,259.52/121,368
  6. Step 6: Final answer
    x = 50,732.56

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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.