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Finding the Fourth Proportional to 51,205.19, 76,820.75 and 14,269.19

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Solution

The fourth proportional to 51,205.19, 76,820.75 and 14,269.19 is: 21,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.19 : 76,820.75 = 14,269.19 : x
  2. Step 2: Convert to fraction form
    51,205.19/76,820.75 = 14,269.19/x
  3. Step 3: Cross multiply
    51,205.19x = 76,820.75 × 14,269.19
  4. Step 4: Simplify right side
    51,205.19x = 1,096,169,877.69
  5. Step 5: Solve for x
    x = 1,096,169,877.69/51,205.19
  6. Step 6: Final answer
    x = 21,407.40

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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.