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Finding the Fourth Proportional to 56,718, 85,077.72 and 19,782

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Solution

The fourth proportional to 56,718, 85,077.72 and 19,782 is: 29,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718 : 85,077.72 = 19,782 : x
  2. Step 2: Convert to fraction form
    56,718/85,077.72 = 19,782/x
  3. Step 3: Cross multiply
    56,718x = 85,077.72 × 19,782
  4. Step 4: Simplify right side
    56,718x = 1,683,007,457.04
  5. Step 5: Solve for x
    x = 1,683,007,457.04/56,718
  6. Step 6: Final answer
    x = 29,673.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.