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Finding the Fourth Proportional to 78,452.82, 117,642.27 and 28,497.69

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Solution

The fourth proportional to 78,452.82, 117,642.27 and 28,497.69 is: 42,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.82 : 117,642.27 = 28,497.69 : x
  2. Step 2: Convert to fraction form
    78,452.82/117,642.27 = 28,497.69/x
  3. Step 3: Cross multiply
    78,452.82x = 117,642.27 × 28,497.69
  4. Step 4: Simplify right side
    78,452.82x = 3,352,532,941.36
  5. Step 5: Solve for x
    x = 3,352,532,941.36/78,452.82
  6. Step 6: Final answer
    x = 42,733.11

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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.