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Finding the Fourth Proportional to 56,882, 85,323.04 and 19,946

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Solution

The fourth proportional to 56,882, 85,323.04 and 19,946 is: 29,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,882 : 85,323.04 = 19,946 : x
  2. Step 2: Convert to fraction form
    56,882/85,323.04 = 19,946/x
  3. Step 3: Cross multiply
    56,882x = 85,323.04 × 19,946
  4. Step 4: Simplify right side
    56,882x = 1,701,853,355.84
  5. Step 5: Solve for x
    x = 1,701,853,355.84/56,882
  6. Step 6: Final answer
    x = 29,919.01

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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.