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Finding the Fourth Proportional to 256,020.62, 353,108.81 and 164,148.68

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Solution

The fourth proportional to 256,020.62, 353,108.81 and 164,148.68 is: 226,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.62 : 353,108.81 = 164,148.68 : x
  2. Step 2: Convert to fraction form
    256,020.62/353,108.81 = 164,148.68/x
  3. Step 3: Cross multiply
    256,020.62x = 353,108.81 × 164,148.68
  4. Step 4: Simplify right side
    256,020.62x = 57,962,345,775.77
  5. Step 5: Solve for x
    x = 57,962,345,775.77/256,020.62
  6. Step 6: Final answer
    x = 226,397.18

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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.