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Finding the Fourth Proportional to 115,289.34, 172,939.30 and 35,321.57

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Solution

The fourth proportional to 115,289.34, 172,939.30 and 35,321.57 is: 52,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,289.34 : 172,939.30 = 35,321.57 : x
  2. Step 2: Convert to fraction form
    115,289.34/172,939.30 = 35,321.57/x
  3. Step 3: Cross multiply
    115,289.34x = 172,939.30 × 35,321.57
  4. Step 4: Simplify right side
    115,289.34x = 6,108,487,590.70
  5. Step 5: Solve for x
    x = 6,108,487,590.70/115,289.34
  6. Step 6: Final answer
    x = 52,983.98

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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.