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Finding the Fourth Proportional to 121,506.81, 182,197.80 and 54,910.86

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Solution

The fourth proportional to 121,506.81, 182,197.80 and 54,910.86 is: 82,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.81 : 182,197.80 = 54,910.86 : x
  2. Step 2: Convert to fraction form
    121,506.81/182,197.80 = 54,910.86/x
  3. Step 3: Cross multiply
    121,506.81x = 182,197.80 × 54,910.86
  4. Step 4: Simplify right side
    121,506.81x = 10,004,637,888.11
  5. Step 5: Solve for x
    x = 10,004,637,888.11/121,506.81
  6. Step 6: Final answer
    x = 82,338.08

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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.