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Finding the Fourth Proportional to 101,200.68, 151,893.63 and 51,315.21

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Solution

The fourth proportional to 101,200.68, 151,893.63 and 51,315.21 is: 77,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,200.68 : 151,893.63 = 51,315.21 : x
  2. Step 2: Convert to fraction form
    101,200.68/151,893.63 = 51,315.21/x
  3. Step 3: Cross multiply
    101,200.68x = 151,893.63 × 51,315.21
  4. Step 4: Simplify right side
    101,200.68x = 7,794,453,521.11
  5. Step 5: Solve for x
    x = 7,794,453,521.11/101,200.68
  6. Step 6: Final answer
    x = 77,019.77

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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.