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Finding the Fourth Proportional to 121,877.70, 182,880.30 and 49,884.06

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Solution

The fourth proportional to 121,877.70, 182,880.30 and 49,884.06 is: 74,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,877.70 : 182,880.30 = 49,884.06 : x
  2. Step 2: Convert to fraction form
    121,877.70/182,880.30 = 49,884.06/x
  3. Step 3: Cross multiply
    121,877.70x = 182,880.30 × 49,884.06
  4. Step 4: Simplify right side
    121,877.70x = 9,122,811,858.02
  5. Step 5: Solve for x
    x = 9,122,811,858.02/121,877.70
  6. Step 6: Final answer
    x = 74,852.18

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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.