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Finding the Fourth Proportional to 51,030, 76,545 and 19,887.12

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Solution

The fourth proportional to 51,030, 76,545 and 19,887.12 is: 29,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 76,545 = 19,887.12 : x
  2. Step 2: Convert to fraction form
    51,030/76,545 = 19,887.12/x
  3. Step 3: Cross multiply
    51,030x = 76,545 × 19,887.12
  4. Step 4: Simplify right side
    51,030x = 1,522,259,600.40
  5. Step 5: Solve for x
    x = 1,522,259,600.40/51,030
  6. Step 6: Final answer
    x = 29,830.68

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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.