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Finding the Fourth Proportional to 115,319, 172,978.68 and 32,213

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Solution

The fourth proportional to 115,319, 172,978.68 and 32,213 is: 48,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,319 : 172,978.68 = 32,213 : x
  2. Step 2: Convert to fraction form
    115,319/172,978.68 = 32,213/x
  3. Step 3: Cross multiply
    115,319x = 172,978.68 × 32,213
  4. Step 4: Simplify right side
    115,319x = 5,572,162,218.84
  5. Step 5: Solve for x
    x = 5,572,162,218.84/115,319
  6. Step 6: Final answer
    x = 48,319.55

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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.