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Finding the Fourth Proportional to 152,122.82, 209,865.21 and 101,838.02

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Solution

The fourth proportional to 152,122.82, 209,865.21 and 101,838.02 is: 140,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,122.82 : 209,865.21 = 101,838.02 : x
  2. Step 2: Convert to fraction form
    152,122.82/209,865.21 = 101,838.02/x
  3. Step 3: Cross multiply
    152,122.82x = 209,865.21 × 101,838.02
  4. Step 4: Simplify right side
    152,122.82x = 21,372,257,453.28
  5. Step 5: Solve for x
    x = 21,372,257,453.28/152,122.82
  6. Step 6: Final answer
    x = 140,493.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.