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Finding the Fourth Proportional to 78,427.80, 117,642.06 and 19,263.48

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Solution

The fourth proportional to 78,427.80, 117,642.06 and 19,263.48 is: 28,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.80 : 117,642.06 = 19,263.48 : x
  2. Step 2: Convert to fraction form
    78,427.80/117,642.06 = 19,263.48/x
  3. Step 3: Cross multiply
    78,427.80x = 117,642.06 × 19,263.48
  4. Step 4: Simplify right side
    78,427.80x = 2,266,195,469.97
  5. Step 5: Solve for x
    x = 2,266,195,469.97/78,427.80
  6. Step 6: Final answer
    x = 28,895.31

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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.