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Finding the Fourth Proportional to 56,861.92, 85,302.60 and 19,419.94

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Solution

The fourth proportional to 56,861.92, 85,302.60 and 19,419.94 is: 29,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,861.92 : 85,302.60 = 19,419.94 : x
  2. Step 2: Convert to fraction form
    56,861.92/85,302.60 = 19,419.94/x
  3. Step 3: Cross multiply
    56,861.92x = 85,302.60 × 19,419.94
  4. Step 4: Simplify right side
    56,861.92x = 1,656,571,373.84
  5. Step 5: Solve for x
    x = 1,656,571,373.84/56,861.92
  6. Step 6: Final answer
    x = 29,133.23

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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.