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Finding the Fourth Proportional to 275,015.32, 412,640.63 and 115,128.61

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Solution

The fourth proportional to 275,015.32, 412,640.63 and 115,128.61 is: 172,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,015.32 : 412,640.63 = 115,128.61 : x
  2. Step 2: Convert to fraction form
    275,015.32/412,640.63 = 115,128.61/x
  3. Step 3: Cross multiply
    275,015.32x = 412,640.63 × 115,128.61
  4. Step 4: Simplify right side
    275,015.32x = 47,506,740,985.91
  5. Step 5: Solve for x
    x = 47,506,740,985.91/275,015.32
  6. Step 6: Final answer
    x = 172,742.16

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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.