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Finding the Fourth Proportional to 56,682, 85,023.36 and 19,746

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Solution

The fourth proportional to 56,682, 85,023.36 and 19,746 is: 29,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,682 : 85,023.36 = 19,746 : x
  2. Step 2: Convert to fraction form
    56,682/85,023.36 = 19,746/x
  3. Step 3: Cross multiply
    56,682x = 85,023.36 × 19,746
  4. Step 4: Simplify right side
    56,682x = 1,678,871,266.56
  5. Step 5: Solve for x
    x = 1,678,871,266.56/56,682
  6. Step 6: Final answer
    x = 29,619.13

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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.