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Finding the Fourth Proportional to 101,442.10, 152,163.15 and 99,714.10

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Solution

The fourth proportional to 101,442.10, 152,163.15 and 99,714.10 is: 149,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.10 : 152,163.15 = 99,714.10 : x
  2. Step 2: Convert to fraction form
    101,442.10/152,163.15 = 99,714.10/x
  3. Step 3: Cross multiply
    101,442.10x = 152,163.15 × 99,714.10
  4. Step 4: Simplify right side
    101,442.10x = 15,172,811,555.42
  5. Step 5: Solve for x
    x = 15,172,811,555.42/101,442.10
  6. Step 6: Final answer
    x = 149,571.15

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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.