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Finding the Fourth Proportional to 78,594.16, 117,879.54 and 28,662.52

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Solution

The fourth proportional to 78,594.16, 117,879.54 and 28,662.52 is: 42,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,594.16 : 117,879.54 = 28,662.52 : x
  2. Step 2: Convert to fraction form
    78,594.16/117,879.54 = 28,662.52/x
  3. Step 3: Cross multiply
    78,594.16x = 117,879.54 × 28,662.52
  4. Step 4: Simplify right side
    78,594.16x = 3,378,724,672.84
  5. Step 5: Solve for x
    x = 3,378,724,672.84/78,594.16
  6. Step 6: Final answer
    x = 42,989.51

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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.