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Finding the Fourth Proportional to 272,072.01, 408,150.27 and 138,880.20

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Solution

The fourth proportional to 272,072.01, 408,150.27 and 138,880.20 is: 208,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,072.01 : 408,150.27 = 138,880.20 : x
  2. Step 2: Convert to fraction form
    272,072.01/408,150.27 = 138,880.20/x
  3. Step 3: Cross multiply
    272,072.01x = 408,150.27 × 138,880.20
  4. Step 4: Simplify right side
    272,072.01x = 56,683,991,127.65
  5. Step 5: Solve for x
    x = 56,683,991,127.65/272,072.01
  6. Step 6: Final answer
    x = 208,341.87

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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.