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Finding the Fourth Proportional to 82,506.80, 123,731.40 and 43,050.80

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Solution

The fourth proportional to 82,506.80, 123,731.40 and 43,050.80 is: 64,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.80 : 123,731.40 = 43,050.80 : x
  2. Step 2: Convert to fraction form
    82,506.80/123,731.40 = 43,050.80/x
  3. Step 3: Cross multiply
    82,506.80x = 123,731.40 × 43,050.80
  4. Step 4: Simplify right side
    82,506.80x = 5,326,735,755.12
  5. Step 5: Solve for x
    x = 5,326,735,755.12/82,506.80
  6. Step 6: Final answer
    x = 64,561.17

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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.