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Finding the Fourth Proportional to 78,496, 108,324.48 and 43,168

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Solution

The fourth proportional to 78,496, 108,324.48 and 43,168 is: 59,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496 : 108,324.48 = 43,168 : x
  2. Step 2: Convert to fraction form
    78,496/108,324.48 = 43,168/x
  3. Step 3: Cross multiply
    78,496x = 108,324.48 × 43,168
  4. Step 4: Simplify right side
    78,496x = 4,676,151,152.64
  5. Step 5: Solve for x
    x = 4,676,151,152.64/78,496
  6. Step 6: Final answer
    x = 59,571.84

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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.