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Finding the Fourth Proportional to 82,716.80, 124,075.20 and 78,828.80

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Solution

The fourth proportional to 82,716.80, 124,075.20 and 78,828.80 is: 118,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.80 : 124,075.20 = 78,828.80 : x
  2. Step 2: Convert to fraction form
    82,716.80/124,075.20 = 78,828.80/x
  3. Step 3: Cross multiply
    82,716.80x = 124,075.20 × 78,828.80
  4. Step 4: Simplify right side
    82,716.80x = 9,780,699,125.76
  5. Step 5: Solve for x
    x = 9,780,699,125.76/82,716.80
  6. Step 6: Final answer
    x = 118,243.20

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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.