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Finding the Fourth Proportional to 272,013.60, 407,905.20 and 131,815.20

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Solution

The fourth proportional to 272,013.60, 407,905.20 and 131,815.20 is: 197,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,013.60 : 407,905.20 = 131,815.20 : x
  2. Step 2: Convert to fraction form
    272,013.60/407,905.20 = 131,815.20/x
  3. Step 3: Cross multiply
    272,013.60x = 407,905.20 × 131,815.20
  4. Step 4: Simplify right side
    272,013.60x = 53,768,105,519.04
  5. Step 5: Solve for x
    x = 53,768,105,519.04/272,013.60
  6. Step 6: Final answer
    x = 197,666.98

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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.