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Finding the Fourth Proportional to 102,651.42, 154,031.37 and 72,858.30

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Solution

The fourth proportional to 102,651.42, 154,031.37 and 72,858.30 is: 109,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.42 : 154,031.37 = 72,858.30 : x
  2. Step 2: Convert to fraction form
    102,651.42/154,031.37 = 72,858.30/x
  3. Step 3: Cross multiply
    102,651.42x = 154,031.37 × 72,858.30
  4. Step 4: Simplify right side
    102,651.42x = 11,222,463,764.87
  5. Step 5: Solve for x
    x = 11,222,463,764.87/102,651.42
  6. Step 6: Final answer
    x = 109,325.95

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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.