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Finding the Fourth Proportional to 133,197.52, 183,811.64 and 72,768.24

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Solution

The fourth proportional to 133,197.52, 183,811.64 and 72,768.24 is: 100,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,197.52 : 183,811.64 = 72,768.24 : x
  2. Step 2: Convert to fraction form
    133,197.52/183,811.64 = 72,768.24/x
  3. Step 3: Cross multiply
    133,197.52x = 183,811.64 × 72,768.24
  4. Step 4: Simplify right side
    133,197.52x = 13,375,649,534.31
  5. Step 5: Solve for x
    x = 13,375,649,534.31/133,197.52
  6. Step 6: Final answer
    x = 100,419.66

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1.5x scale

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.