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Finding the Fourth Proportional to 253,633.68, 350,022.06 and 140,454

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Solution

The fourth proportional to 253,633.68, 350,022.06 and 140,454 is: 193,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,633.68 : 350,022.06 = 140,454 : x
  2. Step 2: Convert to fraction form
    253,633.68/350,022.06 = 140,454/x
  3. Step 3: Cross multiply
    253,633.68x = 350,022.06 × 140,454
  4. Step 4: Simplify right side
    253,633.68x = 49,161,998,415.24
  5. Step 5: Solve for x
    x = 49,161,998,415.24/253,633.68
  6. Step 6: Final answer
    x = 193,830.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.