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Finding the Fourth Proportional to 71,347.20, 107,020.80 and 52,684.80

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Solution

The fourth proportional to 71,347.20, 107,020.80 and 52,684.80 is: 79,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,347.20 : 107,020.80 = 52,684.80 : x
  2. Step 2: Convert to fraction form
    71,347.20/107,020.80 = 52,684.80/x
  3. Step 3: Cross multiply
    71,347.20x = 107,020.80 × 52,684.80
  4. Step 4: Simplify right side
    71,347.20x = 5,638,369,443.84
  5. Step 5: Solve for x
    x = 5,638,369,443.84/71,347.20
  6. Step 6: Final answer
    x = 79,027.20

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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.