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Finding the Fourth Proportional to 247,000.86, 340,861.64 and 133,823.61

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Solution

The fourth proportional to 247,000.86, 340,861.64 and 133,823.61 is: 184,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,000.86 : 340,861.64 = 133,823.61 : x
  2. Step 2: Convert to fraction form
    247,000.86/340,861.64 = 133,823.61/x
  3. Step 3: Cross multiply
    247,000.86x = 340,861.64 × 133,823.61
  4. Step 4: Simplify right side
    247,000.86x = 45,615,334,506.20
  5. Step 5: Solve for x
    x = 45,615,334,506.20/247,000.86
  6. Step 6: Final answer
    x = 184,676.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.