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Finding the Fourth Proportional to 57,208.10, 85,812.15 and 51,764.90

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Solution

The fourth proportional to 57,208.10, 85,812.15 and 51,764.90 is: 77,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.10 : 85,812.15 = 51,764.90 : x
  2. Step 2: Convert to fraction form
    57,208.10/85,812.15 = 51,764.90/x
  3. Step 3: Cross multiply
    57,208.10x = 85,812.15 × 51,764.90
  4. Step 4: Simplify right side
    57,208.10x = 4,442,057,363.54
  5. Step 5: Solve for x
    x = 4,442,057,363.54/57,208.10
  6. Step 6: Final answer
    x = 77,647.35

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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.