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Finding the Fourth Proportional to 57,038.40, 85,622.40 and 30,729.60

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Solution

The fourth proportional to 57,038.40, 85,622.40 and 30,729.60 is: 46,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.40 : 85,622.40 = 30,729.60 : x
  2. Step 2: Convert to fraction form
    57,038.40/85,622.40 = 30,729.60/x
  3. Step 3: Cross multiply
    57,038.40x = 85,622.40 × 30,729.60
  4. Step 4: Simplify right side
    57,038.40x = 2,631,142,103.04
  5. Step 5: Solve for x
    x = 2,631,142,103.04/57,038.40
  6. Step 6: Final answer
    x = 46,129.31

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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.