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Finding the Fourth Proportional to 56,642, 85,002 and 19,706

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Solution

The fourth proportional to 56,642, 85,002 and 19,706 is: 29,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642 : 85,002 = 19,706 : x
  2. Step 2: Convert to fraction form
    56,642/85,002 = 19,706/x
  3. Step 3: Cross multiply
    56,642x = 85,002 × 19,706
  4. Step 4: Simplify right side
    56,642x = 1,675,049,412
  5. Step 5: Solve for x
    x = 1,675,049,412/56,642
  6. Step 6: Final answer
    x = 29,572.57

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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.