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Finding the Fourth Proportional to 142,245.53, 213,400.07 and 53,499.80

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Solution

The fourth proportional to 142,245.53, 213,400.07 and 53,499.80 is: 80,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,245.53 : 213,400.07 = 53,499.80 : x
  2. Step 2: Convert to fraction form
    142,245.53/213,400.07 = 53,499.80/x
  3. Step 3: Cross multiply
    142,245.53x = 213,400.07 × 53,499.80
  4. Step 4: Simplify right side
    142,245.53x = 11,416,860,931.42
  5. Step 5: Solve for x
    x = 11,416,860,931.42/142,245.53
  6. Step 6: Final answer
    x = 80,261.65

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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.