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Finding the Fourth Proportional to 121,908.52, 182,862.80 and 51,738.64

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Solution

The fourth proportional to 121,908.52, 182,862.80 and 51,738.64 is: 77,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,908.52 : 182,862.80 = 51,738.64 : x
  2. Step 2: Convert to fraction form
    121,908.52/182,862.80 = 51,738.64/x
  3. Step 3: Cross multiply
    121,908.52x = 182,862.80 × 51,738.64
  4. Step 4: Simplify right side
    121,908.52x = 9,461,072,578.59
  5. Step 5: Solve for x
    x = 9,461,072,578.59/121,908.52
  6. Step 6: Final answer
    x = 77,607.97

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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.