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Finding the Fourth Proportional to 57,641.28, 79,545 and 31,145.28

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Solution

The fourth proportional to 57,641.28, 79,545 and 31,145.28 is: 42,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.28 : 79,545 = 31,145.28 : x
  2. Step 2: Convert to fraction form
    57,641.28/79,545 = 31,145.28/x
  3. Step 3: Cross multiply
    57,641.28x = 79,545 × 31,145.28
  4. Step 4: Simplify right side
    57,641.28x = 2,477,451,297.60
  5. Step 5: Solve for x
    x = 2,477,451,297.60/57,641.28
  6. Step 6: Final answer
    x = 42,980.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.