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Finding the Fourth Proportional to 139,839.20, 192,978.48 and 76,176.80

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Solution

The fourth proportional to 139,839.20, 192,978.48 and 76,176.80 is: 105,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,839.20 : 192,978.48 = 76,176.80 : x
  2. Step 2: Convert to fraction form
    139,839.20/192,978.48 = 76,176.80/x
  3. Step 3: Cross multiply
    139,839.20x = 192,978.48 × 76,176.80
  4. Step 4: Simplify right side
    139,839.20x = 14,700,483,075.26
  5. Step 5: Solve for x
    x = 14,700,483,075.26/139,839.20
  6. Step 6: Final answer
    x = 105,124.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.