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Finding the Fourth Proportional to 56,646, 85,008 and 19,710

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Solution

The fourth proportional to 56,646, 85,008 and 19,710 is: 29,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646 : 85,008 = 19,710 : x
  2. Step 2: Convert to fraction form
    56,646/85,008 = 19,710/x
  3. Step 3: Cross multiply
    56,646x = 85,008 × 19,710
  4. Step 4: Simplify right side
    56,646x = 1,675,507,680
  5. Step 5: Solve for x
    x = 1,675,507,680/56,646
  6. Step 6: Final answer
    x = 29,578.57

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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.