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Finding the Fourth Proportional to 56,728, 85,130.88 and 19,792

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Solution

The fourth proportional to 56,728, 85,130.88 and 19,792 is: 29,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,728 : 85,130.88 = 19,792 : x
  2. Step 2: Convert to fraction form
    56,728/85,130.88 = 19,792/x
  3. Step 3: Cross multiply
    56,728x = 85,130.88 × 19,792
  4. Step 4: Simplify right side
    56,728x = 1,684,910,376.96
  5. Step 5: Solve for x
    x = 1,684,910,376.96/56,728
  6. Step 6: Final answer
    x = 29,701.56

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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.