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Finding the Fourth Proportional to 78,122.16, 107,797 and 47,479.28

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Solution

The fourth proportional to 78,122.16, 107,797 and 47,479.28 is: 65,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.16 : 107,797 = 47,479.28 : x
  2. Step 2: Convert to fraction form
    78,122.16/107,797 = 47,479.28/x
  3. Step 3: Cross multiply
    78,122.16x = 107,797 × 47,479.28
  4. Step 4: Simplify right side
    78,122.16x = 5,118,123,946.16
  5. Step 5: Solve for x
    x = 5,118,123,946.16/78,122.16
  6. Step 6: Final answer
    x = 65,514.37

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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.