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Finding the Fourth Proportional to 78,578.87, 117,856.77 and 25,989.11

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Solution

The fourth proportional to 78,578.87, 117,856.77 and 25,989.11 is: 38,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.87 : 117,856.77 = 25,989.11 : x
  2. Step 2: Convert to fraction form
    78,578.87/117,856.77 = 25,989.11/x
  3. Step 3: Cross multiply
    78,578.87x = 117,856.77 × 25,989.11
  4. Step 4: Simplify right side
    78,578.87x = 3,062,991,970.49
  5. Step 5: Solve for x
    x = 3,062,991,970.49/78,578.87
  6. Step 6: Final answer
    x = 38,979.84

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1.5x scale

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.