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Finding the Fourth Proportional to 78,193.65, 117,289.53 and 19,029.45

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Solution

The fourth proportional to 78,193.65, 117,289.53 and 19,029.45 is: 28,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.65 : 117,289.53 = 19,029.45 : x
  2. Step 2: Convert to fraction form
    78,193.65/117,289.53 = 19,029.45/x
  3. Step 3: Cross multiply
    78,193.65x = 117,289.53 × 19,029.45
  4. Step 4: Simplify right side
    78,193.65x = 2,231,955,246.66
  5. Step 5: Solve for x
    x = 2,231,955,246.66/78,193.65
  6. Step 6: Final answer
    x = 28,543.95

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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.