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Finding the Fourth Proportional to 342,865.78, 514,257.72 and 90,165.96

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Solution

The fourth proportional to 342,865.78, 514,257.72 and 90,165.96 is: 135,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,865.78 : 514,257.72 = 90,165.96 : x
  2. Step 2: Convert to fraction form
    342,865.78/514,257.72 = 90,165.96/x
  3. Step 3: Cross multiply
    342,865.78x = 514,257.72 × 90,165.96
  4. Step 4: Simplify right side
    342,865.78x = 46,368,541,011.21
  5. Step 5: Solve for x
    x = 46,368,541,011.21/342,865.78
  6. Step 6: Final answer
    x = 135,238.17

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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.