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Finding the Fourth Proportional to 272,100, 408,154.15 and 103,629.65

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Solution

The fourth proportional to 272,100, 408,154.15 and 103,629.65 is: 155,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,100 : 408,154.15 = 103,629.65 : x
  2. Step 2: Convert to fraction form
    272,100/408,154.15 = 103,629.65/x
  3. Step 3: Cross multiply
    272,100x = 408,154.15 × 103,629.65
  4. Step 4: Simplify right side
    272,100x = 42,296,871,710.55
  5. Step 5: Solve for x
    x = 42,296,871,710.55/272,100
  6. Step 6: Final answer
    x = 155,446.06

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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.