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Finding the Fourth Proportional to 78,764.44, 117,644.53 and 71,256.52

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Solution

The fourth proportional to 78,764.44, 117,644.53 and 71,256.52 is: 106,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764.44 : 117,644.53 = 71,256.52 : x
  2. Step 2: Convert to fraction form
    78,764.44/117,644.53 = 71,256.52/x
  3. Step 3: Cross multiply
    78,764.44x = 117,644.53 × 71,256.52
  4. Step 4: Simplify right side
    78,764.44x = 8,382,939,448.55
  5. Step 5: Solve for x
    x = 8,382,939,448.55/78,764.44
  6. Step 6: Final answer
    x = 106,430.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.