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Finding the Fourth Proportional to 56,516, 84,789.12 and 19,580

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Solution

The fourth proportional to 56,516, 84,789.12 and 19,580 is: 29,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 84,789.12 = 19,580 : x
  2. Step 2: Convert to fraction form
    56,516/84,789.12 = 19,580/x
  3. Step 3: Cross multiply
    56,516x = 84,789.12 × 19,580
  4. Step 4: Simplify right side
    56,516x = 1,660,170,969.60
  5. Step 5: Solve for x
    x = 1,660,170,969.60/56,516
  6. Step 6: Final answer
    x = 29,375.24

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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.