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Finding the Fourth Proportional to 78,078.74, 117,117.72 and 18,914.42

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Solution

The fourth proportional to 78,078.74, 117,117.72 and 18,914.42 is: 28,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.74 : 117,117.72 = 18,914.42 : x
  2. Step 2: Convert to fraction form
    78,078.74/117,117.72 = 18,914.42/x
  3. Step 3: Cross multiply
    78,078.74x = 117,117.72 × 18,914.42
  4. Step 4: Simplify right side
    78,078.74x = 2,215,213,159.93
  5. Step 5: Solve for x
    x = 2,215,213,159.93/78,078.74
  6. Step 6: Final answer
    x = 28,371.53

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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.