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Finding the Fourth Proportional to 78,649.79, 117,858.02 and 57,771.23

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Solution

The fourth proportional to 78,649.79, 117,858.02 and 57,771.23 is: 86,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.79 : 117,858.02 = 57,771.23 : x
  2. Step 2: Convert to fraction form
    78,649.79/117,858.02 = 57,771.23/x
  3. Step 3: Cross multiply
    78,649.79x = 117,858.02 × 57,771.23
  4. Step 4: Simplify right side
    78,649.79x = 6,808,801,902.62
  5. Step 5: Solve for x
    x = 6,808,801,902.62/78,649.79
  6. Step 6: Final answer
    x = 86,571.14

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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.