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Finding the Fourth Proportional to 101,380.80, 152,114.40 and 70,199.04

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Solution

The fourth proportional to 101,380.80, 152,114.40 and 70,199.04 is: 105,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,380.80 : 152,114.40 = 70,199.04 : x
  2. Step 2: Convert to fraction form
    101,380.80/152,114.40 = 70,199.04/x
  3. Step 3: Cross multiply
    101,380.80x = 152,114.40 × 70,199.04
  4. Step 4: Simplify right side
    101,380.80x = 10,678,284,850.18
  5. Step 5: Solve for x
    x = 10,678,284,850.18/101,380.80
  6. Step 6: Final answer
    x = 105,328.47

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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.