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Finding the Fourth Proportional to 99,758.20, 149,810.10 and 53,102.20

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Solution

The fourth proportional to 99,758.20, 149,810.10 and 53,102.20 is: 79,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,758.20 : 149,810.10 = 53,102.20 : x
  2. Step 2: Convert to fraction form
    99,758.20/149,810.10 = 53,102.20/x
  3. Step 3: Cross multiply
    99,758.20x = 149,810.10 × 53,102.20
  4. Step 4: Simplify right side
    99,758.20x = 7,955,245,892.22
  5. Step 5: Solve for x
    x = 7,955,245,892.22/99,758.20
  6. Step 6: Final answer
    x = 79,745.28

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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.