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Finding the Fourth Proportional to 57,029.48, 85,861.19 and 49,409

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Solution

The fourth proportional to 57,029.48, 85,861.19 and 49,409 is: 74,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,029.48 : 85,861.19 = 49,409 : x
  2. Step 2: Convert to fraction form
    57,029.48/85,861.19 = 49,409/x
  3. Step 3: Cross multiply
    57,029.48x = 85,861.19 × 49,409
  4. Step 4: Simplify right side
    57,029.48x = 4,242,315,536.71
  5. Step 5: Solve for x
    x = 4,242,315,536.71/57,029.48
  6. Step 6: Final answer
    x = 74,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.