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Finding the Fourth Proportional to 70,633, 105,998.10 and 29,080

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Solution

The fourth proportional to 70,633, 105,998.10 and 29,080 is: 43,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,633 : 105,998.10 = 29,080 : x
  2. Step 2: Convert to fraction form
    70,633/105,998.10 = 29,080/x
  3. Step 3: Cross multiply
    70,633x = 105,998.10 × 29,080
  4. Step 4: Simplify right side
    70,633x = 3,082,424,748
  5. Step 5: Solve for x
    x = 3,082,424,748/70,633
  6. Step 6: Final answer
    x = 43,640.01

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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.