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Finding the Fourth Proportional to 56,977.60, 85,465.60 and 25,812.80

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Solution

The fourth proportional to 56,977.60, 85,465.60 and 25,812.80 is: 38,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977.60 : 85,465.60 = 25,812.80 : x
  2. Step 2: Convert to fraction form
    56,977.60/85,465.60 = 25,812.80/x
  3. Step 3: Cross multiply
    56,977.60x = 85,465.60 × 25,812.80
  4. Step 4: Simplify right side
    56,977.60x = 2,206,106,439.68
  5. Step 5: Solve for x
    x = 2,206,106,439.68/56,977.60
  6. Step 6: Final answer
    x = 38,718.84

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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.