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Finding the Fourth Proportional to 82,505.63, 123,810.50 and 35,120.65

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Solution

The fourth proportional to 82,505.63, 123,810.50 and 35,120.65 is: 52,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.63 : 123,810.50 = 35,120.65 : x
  2. Step 2: Convert to fraction form
    82,505.63/123,810.50 = 35,120.65/x
  3. Step 3: Cross multiply
    82,505.63x = 123,810.50 × 35,120.65
  4. Step 4: Simplify right side
    82,505.63x = 4,348,304,617.77
  5. Step 5: Solve for x
    x = 4,348,304,617.77/82,505.63
  6. Step 6: Final answer
    x = 52,703.13

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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.