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Finding the Fourth Proportional to 121,969.71, 182,855.95 and 50,946.76

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Solution

The fourth proportional to 121,969.71, 182,855.95 and 50,946.76 is: 76,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,969.71 : 182,855.95 = 50,946.76 : x
  2. Step 2: Convert to fraction form
    121,969.71/182,855.95 = 50,946.76/x
  3. Step 3: Cross multiply
    121,969.71x = 182,855.95 × 50,946.76
  4. Step 4: Simplify right side
    121,969.71x = 9,315,917,271.86
  5. Step 5: Solve for x
    x = 9,315,917,271.86/121,969.71
  6. Step 6: Final answer
    x = 76,378.94

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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.