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Finding the Fourth Proportional to 270,652.14, 405,867.20 and 81,045.72

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Solution

The fourth proportional to 270,652.14, 405,867.20 and 81,045.72 is: 121,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,652.14 : 405,867.20 = 81,045.72 : x
  2. Step 2: Convert to fraction form
    270,652.14/405,867.20 = 81,045.72/x
  3. Step 3: Cross multiply
    270,652.14x = 405,867.20 × 81,045.72
  4. Step 4: Simplify right side
    270,652.14x = 32,893,799,448.38
  5. Step 5: Solve for x
    x = 32,893,799,448.38/270,652.14
  6. Step 6: Final answer
    x = 121,535.34

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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.