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Finding the Fourth Proportional to 78,448.69, 117,672.02 and 19,284.87

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Solution

The fourth proportional to 78,448.69, 117,672.02 and 19,284.87 is: 28,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,448.69 : 117,672.02 = 19,284.87 : x
  2. Step 2: Convert to fraction form
    78,448.69/117,672.02 = 19,284.87/x
  3. Step 3: Cross multiply
    78,448.69x = 117,672.02 × 19,284.87
  4. Step 4: Simplify right side
    78,448.69x = 2,269,289,608.34
  5. Step 5: Solve for x
    x = 2,269,289,608.34/78,448.69
  6. Step 6: Final answer
    x = 28,927.06

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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.