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Finding the Fourth Proportional to 272,097.76, 408,039.90 and 103,528.60

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Solution

The fourth proportional to 272,097.76, 408,039.90 and 103,528.60 is: 155,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097.76 : 408,039.90 = 103,528.60 : x
  2. Step 2: Convert to fraction form
    272,097.76/408,039.90 = 103,528.60/x
  3. Step 3: Cross multiply
    272,097.76x = 408,039.90 × 103,528.60
  4. Step 4: Simplify right side
    272,097.76x = 42,243,799,591.14
  5. Step 5: Solve for x
    x = 42,243,799,591.14/272,097.76
  6. Step 6: Final answer
    x = 155,252.29

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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.