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Finding the Fourth Proportional to 78,489.36, 117,733.07 and 19,325.54

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Solution

The fourth proportional to 78,489.36, 117,733.07 and 19,325.54 is: 28,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.36 : 117,733.07 = 19,325.54 : x
  2. Step 2: Convert to fraction form
    78,489.36/117,733.07 = 19,325.54/x
  3. Step 3: Cross multiply
    78,489.36x = 117,733.07 × 19,325.54
  4. Step 4: Simplify right side
    78,489.36x = 2,275,254,468.31
  5. Step 5: Solve for x
    x = 2,275,254,468.31/78,489.36
  6. Step 6: Final answer
    x = 28,988.06

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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.