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Finding the Fourth Proportional to 78,273.54, 117,407.88 and 19,109.52

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Solution

The fourth proportional to 78,273.54, 117,407.88 and 19,109.52 is: 28,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273.54 : 117,407.88 = 19,109.52 : x
  2. Step 2: Convert to fraction form
    78,273.54/117,407.88 = 19,109.52/x
  3. Step 3: Cross multiply
    78,273.54x = 117,407.88 × 19,109.52
  4. Step 4: Simplify right side
    78,273.54x = 2,243,608,231.02
  5. Step 5: Solve for x
    x = 2,243,608,231.02/78,273.54
  6. Step 6: Final answer
    x = 28,663.69

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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.