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Finding the Fourth Proportional to 56,647, 85,009.50 and 19,711

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Solution

The fourth proportional to 56,647, 85,009.50 and 19,711 is: 29,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647 : 85,009.50 = 19,711 : x
  2. Step 2: Convert to fraction form
    56,647/85,009.50 = 19,711/x
  3. Step 3: Cross multiply
    56,647x = 85,009.50 × 19,711
  4. Step 4: Simplify right side
    56,647x = 1,675,622,254.50
  5. Step 5: Solve for x
    x = 1,675,622,254.50/56,647
  6. Step 6: Final answer
    x = 29,580.07

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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.