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Finding the Fourth Proportional to 172,852.90, 258,876.50 and 166,866.46

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Solution

The fourth proportional to 172,852.90, 258,876.50 and 166,866.46 is: 249,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,852.90 : 258,876.50 = 166,866.46 : x
  2. Step 2: Convert to fraction form
    172,852.90/258,876.50 = 166,866.46/x
  3. Step 3: Cross multiply
    172,852.90x = 258,876.50 × 166,866.46
  4. Step 4: Simplify right side
    172,852.90x = 43,197,805,132.19
  5. Step 5: Solve for x
    x = 43,197,805,132.19/172,852.90
  6. Step 6: Final answer
    x = 249,910.79

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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.