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Finding the Fourth Proportional to 100,975.20, 151,462.80 and 72,835.80

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Solution

The fourth proportional to 100,975.20, 151,462.80 and 72,835.80 is: 109,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,975.20 : 151,462.80 = 72,835.80 : x
  2. Step 2: Convert to fraction form
    100,975.20/151,462.80 = 72,835.80/x
  3. Step 3: Cross multiply
    100,975.20x = 151,462.80 × 72,835.80
  4. Step 4: Simplify right side
    100,975.20x = 11,031,914,208.24
  5. Step 5: Solve for x
    x = 11,031,914,208.24/100,975.20
  6. Step 6: Final answer
    x = 109,253.70

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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.