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Finding the Fourth Proportional to 172,263.76, 258,432.91 and 52,310.86

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Solution

The fourth proportional to 172,263.76, 258,432.91 and 52,310.86 is: 78,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,263.76 : 258,432.91 = 52,310.86 : x
  2. Step 2: Convert to fraction form
    172,263.76/258,432.91 = 52,310.86/x
  3. Step 3: Cross multiply
    172,263.76x = 258,432.91 × 52,310.86
  4. Step 4: Simplify right side
    172,263.76x = 13,518,847,774.40
  5. Step 5: Solve for x
    x = 13,518,847,774.40/172,263.76
  6. Step 6: Final answer
    x = 78,477.61

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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.