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Finding the Fourth Proportional to 172,814.96, 258,846.60 and 83,881.28

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Solution

The fourth proportional to 172,814.96, 258,846.60 and 83,881.28 is: 125,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,814.96 : 258,846.60 = 83,881.28 : x
  2. Step 2: Convert to fraction form
    172,814.96/258,846.60 = 83,881.28/x
  3. Step 3: Cross multiply
    172,814.96x = 258,846.60 × 83,881.28
  4. Step 4: Simplify right side
    172,814.96x = 21,712,384,131.65
  5. Step 5: Solve for x
    x = 21,712,384,131.65/172,814.96
  6. Step 6: Final answer
    x = 125,639.49

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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.