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Finding the Fourth Proportional to 78,094.86, 117,141.21 and 18,931.05

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Solution

The fourth proportional to 78,094.86, 117,141.21 and 18,931.05 is: 28,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.86 : 117,141.21 = 18,931.05 : x
  2. Step 2: Convert to fraction form
    78,094.86/117,141.21 = 18,931.05/x
  3. Step 3: Cross multiply
    78,094.86x = 117,141.21 × 18,931.05
  4. Step 4: Simplify right side
    78,094.86x = 2,217,606,103.57
  5. Step 5: Solve for x
    x = 2,217,606,103.57/78,094.86
  6. Step 6: Final answer
    x = 28,396.31

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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.