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Finding the Fourth Proportional to 272,078.24, 408,051.72 and 85,089.74

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Solution

The fourth proportional to 272,078.24, 408,051.72 and 85,089.74 is: 127,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,078.24 : 408,051.72 = 85,089.74 : x
  2. Step 2: Convert to fraction form
    272,078.24/408,051.72 = 85,089.74/x
  3. Step 3: Cross multiply
    272,078.24x = 408,051.72 × 85,089.74
  4. Step 4: Simplify right side
    272,078.24x = 34,721,012,721.09
  5. Step 5: Solve for x
    x = 34,721,012,721.09/272,078.24
  6. Step 6: Final answer
    x = 127,614.08

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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.