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Finding the Fourth Proportional to 121,832, 182,774.88 and 51,771.20

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Solution

The fourth proportional to 121,832, 182,774.88 and 51,771.20 is: 77,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,832 : 182,774.88 = 51,771.20 : x
  2. Step 2: Convert to fraction form
    121,832/182,774.88 = 51,771.20/x
  3. Step 3: Cross multiply
    121,832x = 182,774.88 × 51,771.20
  4. Step 4: Simplify right side
    121,832x = 9,462,474,867.46
  5. Step 5: Solve for x
    x = 9,462,474,867.46/121,832
  6. Step 6: Final answer
    x = 77,668.22

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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.