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Finding the Fourth Proportional to 172,674.12, 258,943.14 and 83,901.36

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Solution

The fourth proportional to 172,674.12, 258,943.14 and 83,901.36 is: 125,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,674.12 : 258,943.14 = 83,901.36 : x
  2. Step 2: Convert to fraction form
    172,674.12/258,943.14 = 83,901.36/x
  3. Step 3: Cross multiply
    172,674.12x = 258,943.14 × 83,901.36
  4. Step 4: Simplify right side
    172,674.12x = 21,725,681,608.67
  5. Step 5: Solve for x
    x = 21,725,681,608.67/172,674.12
  6. Step 6: Final answer
    x = 125,818.98

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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.