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Finding the Fourth Proportional to 57,294.70, 85,943.16 and 19,856

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Solution

The fourth proportional to 57,294.70, 85,943.16 and 19,856 is: 29,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.70 : 85,943.16 = 19,856 : x
  2. Step 2: Convert to fraction form
    57,294.70/85,943.16 = 19,856/x
  3. Step 3: Cross multiply
    57,294.70x = 85,943.16 × 19,856
  4. Step 4: Simplify right side
    57,294.70x = 1,706,487,384.96
  5. Step 5: Solve for x
    x = 1,706,487,384.96/57,294.70
  6. Step 6: Final answer
    x = 29,784.38

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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.