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Finding the Fourth Proportional to 78,824, 108,777.12 and 58,698.24

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Solution

The fourth proportional to 78,824, 108,777.12 and 58,698.24 is: 81,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824 : 108,777.12 = 58,698.24 : x
  2. Step 2: Convert to fraction form
    78,824/108,777.12 = 58,698.24/x
  3. Step 3: Cross multiply
    78,824x = 108,777.12 × 58,698.24
  4. Step 4: Simplify right side
    78,824x = 6,385,025,496.27
  5. Step 5: Solve for x
    x = 6,385,025,496.27/78,824
  6. Step 6: Final answer
    x = 81,003.57

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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.