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Finding the Fourth Proportional to 287,105.52, 430,542.96 and 118,651.68

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Solution

The fourth proportional to 287,105.52, 430,542.96 and 118,651.68 is: 177,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105.52 : 430,542.96 = 118,651.68 : x
  2. Step 2: Convert to fraction form
    287,105.52/430,542.96 = 118,651.68/x
  3. Step 3: Cross multiply
    287,105.52x = 430,542.96 × 118,651.68
  4. Step 4: Simplify right side
    287,105.52x = 51,084,645,516.17
  5. Step 5: Solve for x
    x = 51,084,645,516.17/287,105.52
  6. Step 6: Final answer
    x = 177,929.86

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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.