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Finding the Fourth Proportional to 172,409.40, 258,614.10 and 133,043.40

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Solution

The fourth proportional to 172,409.40, 258,614.10 and 133,043.40 is: 199,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,409.40 : 258,614.10 = 133,043.40 : x
  2. Step 2: Convert to fraction form
    172,409.40/258,614.10 = 133,043.40/x
  3. Step 3: Cross multiply
    172,409.40x = 258,614.10 × 133,043.40
  4. Step 4: Simplify right side
    172,409.40x = 34,406,899,151.94
  5. Step 5: Solve for x
    x = 34,406,899,151.94/172,409.40
  6. Step 6: Final answer
    x = 199,565.10

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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.