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Finding the Fourth Proportional to 78,782.70, 118,086.26 and 41,347.02

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Solution

The fourth proportional to 78,782.70, 118,086.26 and 41,347.02 is: 61,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.70 : 118,086.26 = 41,347.02 : x
  2. Step 2: Convert to fraction form
    78,782.70/118,086.26 = 41,347.02/x
  3. Step 3: Cross multiply
    78,782.70x = 118,086.26 × 41,347.02
  4. Step 4: Simplify right side
    78,782.70x = 4,882,514,747.21
  5. Step 5: Solve for x
    x = 4,882,514,747.21/78,782.70
  6. Step 6: Final answer
    x = 61,974.45

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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.