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Finding the Fourth Proportional to 82,487.30, 123,730.90 and 29,896.70

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Solution

The fourth proportional to 82,487.30, 123,730.90 and 29,896.70 is: 44,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,487.30 : 123,730.90 = 29,896.70 : x
  2. Step 2: Convert to fraction form
    82,487.30/123,730.90 = 29,896.70/x
  3. Step 3: Cross multiply
    82,487.30x = 123,730.90 × 29,896.70
  4. Step 4: Simplify right side
    82,487.30x = 3,699,144,904.63
  5. Step 5: Solve for x
    x = 3,699,144,904.63/82,487.30
  6. Step 6: Final answer
    x = 44,845.03

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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.