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Finding the Fourth Proportional to 78,194.68, 117,291.03 and 19,030.48

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Solution

The fourth proportional to 78,194.68, 117,291.03 and 19,030.48 is: 28,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194.68 : 117,291.03 = 19,030.48 : x
  2. Step 2: Convert to fraction form
    78,194.68/117,291.03 = 19,030.48/x
  3. Step 3: Cross multiply
    78,194.68x = 117,291.03 × 19,030.48
  4. Step 4: Simplify right side
    78,194.68x = 2,232,104,600.59
  5. Step 5: Solve for x
    x = 2,232,104,600.59/78,194.68
  6. Step 6: Final answer
    x = 28,545.48

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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.