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Finding the Fourth Proportional to 57,296.70, 85,946.16 and 19,857.99

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Solution

The fourth proportional to 57,296.70, 85,946.16 and 19,857.99 is: 29,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296.70 : 85,946.16 = 19,857.99 : x
  2. Step 2: Convert to fraction form
    57,296.70/85,946.16 = 19,857.99/x
  3. Step 3: Cross multiply
    57,296.70x = 85,946.16 × 19,857.99
  4. Step 4: Simplify right side
    57,296.70x = 1,706,717,985.82
  5. Step 5: Solve for x
    x = 1,706,717,985.82/57,296.70
  6. Step 6: Final answer
    x = 29,787.37

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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.