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Finding the Fourth Proportional to 80,955, 111,732.48 and 47,421

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Solution

The fourth proportional to 80,955, 111,732.48 and 47,421 is: 65,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,955 : 111,732.48 = 47,421 : x
  2. Step 2: Convert to fraction form
    80,955/111,732.48 = 47,421/x
  3. Step 3: Cross multiply
    80,955x = 111,732.48 × 47,421
  4. Step 4: Simplify right side
    80,955x = 5,298,465,934.08
  5. Step 5: Solve for x
    x = 5,298,465,934.08/80,955
  6. Step 6: Final answer
    x = 65,449.52

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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.