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Finding the Fourth Proportional to 78,222.78, 117,213.48 and 52,822.80

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Solution

The fourth proportional to 78,222.78, 117,213.48 and 52,822.80 is: 79,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.78 : 117,213.48 = 52,822.80 : x
  2. Step 2: Convert to fraction form
    78,222.78/117,213.48 = 52,822.80/x
  3. Step 3: Cross multiply
    78,222.78x = 117,213.48 × 52,822.80
  4. Step 4: Simplify right side
    78,222.78x = 6,191,544,211.34
  5. Step 5: Solve for x
    x = 6,191,544,211.34/78,222.78
  6. Step 6: Final answer
    x = 79,152.70

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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.