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Finding the Fourth Proportional to 180,502.72, 270,458.16 and 127,817.60

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Solution

The fourth proportional to 180,502.72, 270,458.16 and 127,817.60 is: 191,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,502.72 : 270,458.16 = 127,817.60 : x
  2. Step 2: Convert to fraction form
    180,502.72/270,458.16 = 127,817.60/x
  3. Step 3: Cross multiply
    180,502.72x = 270,458.16 × 127,817.60
  4. Step 4: Simplify right side
    180,502.72x = 34,569,312,911.62
  5. Step 5: Solve for x
    x = 34,569,312,911.62/180,502.72
  6. Step 6: Final answer
    x = 191,516.85

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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.