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Finding the Fourth Proportional to 172,690.83, 258,749.87 and 105,018.15

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Solution

The fourth proportional to 172,690.83, 258,749.87 and 105,018.15 is: 157,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,690.83 : 258,749.87 = 105,018.15 : x
  2. Step 2: Convert to fraction form
    172,690.83/258,749.87 = 105,018.15/x
  3. Step 3: Cross multiply
    172,690.83x = 258,749.87 × 105,018.15
  4. Step 4: Simplify right side
    172,690.83x = 27,173,432,135.05
  5. Step 5: Solve for x
    x = 27,173,432,135.05/172,690.83
  6. Step 6: Final answer
    x = 157,353.07

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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.