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Finding the Fourth Proportional to 57,038.80, 85,582.36 and 30,712.80

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Solution

The fourth proportional to 57,038.80, 85,582.36 and 30,712.80 is: 46,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.80 : 85,582.36 = 30,712.80 : x
  2. Step 2: Convert to fraction form
    57,038.80/85,582.36 = 30,712.80/x
  3. Step 3: Cross multiply
    57,038.80x = 85,582.36 × 30,712.80
  4. Step 4: Simplify right side
    57,038.80x = 2,628,473,906.21
  5. Step 5: Solve for x
    x = 2,628,473,906.21/57,038.80
  6. Step 6: Final answer
    x = 46,082.21

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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.