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Finding the Fourth Proportional to 20,088, 30,142.52 and 14,586.78

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Solution

The fourth proportional to 20,088, 30,142.52 and 14,586.78 is: 21,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088 : 30,142.52 = 14,586.78 : x
  2. Step 2: Convert to fraction form
    20,088/30,142.52 = 14,586.78/x
  3. Step 3: Cross multiply
    20,088x = 30,142.52 × 14,586.78
  4. Step 4: Simplify right side
    20,088x = 439,682,307.89
  5. Step 5: Solve for x
    x = 439,682,307.89/20,088
  6. Step 6: Final answer
    x = 21,887.81

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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.