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Finding the Fourth Proportional to 78,234.48, 117,171 and 47,000.88

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Solution

The fourth proportional to 78,234.48, 117,171 and 47,000.88 is: 70,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.48 : 117,171 = 47,000.88 : x
  2. Step 2: Convert to fraction form
    78,234.48/117,171 = 47,000.88/x
  3. Step 3: Cross multiply
    78,234.48x = 117,171 × 47,000.88
  4. Step 4: Simplify right side
    78,234.48x = 5,507,140,110.48
  5. Step 5: Solve for x
    x = 5,507,140,110.48/78,234.48
  6. Step 6: Final answer
    x = 70,392.75

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1.5x scale

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.