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Finding the Fourth Proportional to 78,178.68, 117,266.91 and 19,014.46

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Solution

The fourth proportional to 78,178.68, 117,266.91 and 19,014.46 is: 28,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178.68 : 117,266.91 = 19,014.46 : x
  2. Step 2: Convert to fraction form
    78,178.68/117,266.91 = 19,014.46/x
  3. Step 3: Cross multiply
    78,178.68x = 117,266.91 × 19,014.46
  4. Step 4: Simplify right side
    78,178.68x = 2,229,766,969.52
  5. Step 5: Solve for x
    x = 2,229,766,969.52/78,178.68
  6. Step 6: Final answer
    x = 28,521.42

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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.