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Finding the Fourth Proportional to 82,346.80, 123,635.40 and 51,242.80

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Solution

The fourth proportional to 82,346.80, 123,635.40 and 51,242.80 is: 76,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,346.80 : 123,635.40 = 51,242.80 : x
  2. Step 2: Convert to fraction form
    82,346.80/123,635.40 = 51,242.80/x
  3. Step 3: Cross multiply
    82,346.80x = 123,635.40 × 51,242.80
  4. Step 4: Simplify right side
    82,346.80x = 6,335,424,075.12
  5. Step 5: Solve for x
    x = 6,335,424,075.12/82,346.80
  6. Step 6: Final answer
    x = 76,935.89

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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.