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Finding the Fourth Proportional to 272,451.30, 408,709.74 and 90,088.30

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Solution

The fourth proportional to 272,451.30, 408,709.74 and 90,088.30 is: 135,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,451.30 : 408,709.74 = 90,088.30 : x
  2. Step 2: Convert to fraction form
    272,451.30/408,709.74 = 90,088.30/x
  3. Step 3: Cross multiply
    272,451.30x = 408,709.74 × 90,088.30
  4. Step 4: Simplify right side
    272,451.30x = 36,819,965,670.04
  5. Step 5: Solve for x
    x = 36,819,965,670.04/272,451.30
  6. Step 6: Final answer
    x = 135,143.29

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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.