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Finding the Fourth Proportional to 85,516, 118,012.84 and 47,274.94

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Solution

The fourth proportional to 85,516, 118,012.84 and 47,274.94 is: 65,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,516 : 118,012.84 = 47,274.94 : x
  2. Step 2: Convert to fraction form
    85,516/118,012.84 = 47,274.94/x
  3. Step 3: Cross multiply
    85,516x = 118,012.84 × 47,274.94
  4. Step 4: Simplify right side
    85,516x = 5,579,049,930.23
  5. Step 5: Solve for x
    x = 5,579,049,930.23/85,516
  6. Step 6: Final answer
    x = 65,239.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.