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Finding the Fourth Proportional to 78,764.74, 118,146.84 and 19,600.40

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Solution

The fourth proportional to 78,764.74, 118,146.84 and 19,600.40 is: 29,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764.74 : 118,146.84 = 19,600.40 : x
  2. Step 2: Convert to fraction form
    78,764.74/118,146.84 = 19,600.40/x
  3. Step 3: Cross multiply
    78,764.74x = 118,146.84 × 19,600.40
  4. Step 4: Simplify right side
    78,764.74x = 2,315,725,322.74
  5. Step 5: Solve for x
    x = 2,315,725,322.74/78,764.74
  6. Step 6: Final answer
    x = 29,400.53

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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.