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Finding the Fourth Proportional to 101,200.40, 151,892.40 and 51,315.20

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Solution

The fourth proportional to 101,200.40, 151,892.40 and 51,315.20 is: 77,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,200.40 : 151,892.40 = 51,315.20 : x
  2. Step 2: Convert to fraction form
    101,200.40/151,892.40 = 51,315.20/x
  3. Step 3: Cross multiply
    101,200.40x = 151,892.40 × 51,315.20
  4. Step 4: Simplify right side
    101,200.40x = 7,794,388,884.48
  5. Step 5: Solve for x
    x = 7,794,388,884.48/101,200.40
  6. Step 6: Final answer
    x = 77,019.35

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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.