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Finding the Fourth Proportional to 172,407.40, 258,611.10 and 133,041.40

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Solution

The fourth proportional to 172,407.40, 258,611.10 and 133,041.40 is: 199,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,407.40 : 258,611.10 = 133,041.40 : x
  2. Step 2: Convert to fraction form
    172,407.40/258,611.10 = 133,041.40/x
  3. Step 3: Cross multiply
    172,407.40x = 258,611.10 × 133,041.40
  4. Step 4: Simplify right side
    172,407.40x = 34,405,982,799.54
  5. Step 5: Solve for x
    x = 34,405,982,799.54/172,407.40
  6. Step 6: Final answer
    x = 199,562.10

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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.