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Finding the Fourth Proportional to 172,645.98, 258,683.82 and 78,945.18

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Solution

The fourth proportional to 172,645.98, 258,683.82 and 78,945.18 is: 118,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,645.98 : 258,683.82 = 78,945.18 : x
  2. Step 2: Convert to fraction form
    172,645.98/258,683.82 = 78,945.18/x
  3. Step 3: Cross multiply
    172,645.98x = 258,683.82 × 78,945.18
  4. Step 4: Simplify right side
    172,645.98x = 20,421,840,732.99
  5. Step 5: Solve for x
    x = 20,421,840,732.99/172,645.98
  6. Step 6: Final answer
    x = 118,287.38

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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.