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Finding the Fourth Proportional to 150,515.40, 207,720.57 and 83,447.40

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Solution

The fourth proportional to 150,515.40, 207,720.57 and 83,447.40 is: 115,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,515.40 : 207,720.57 = 83,447.40 : x
  2. Step 2: Convert to fraction form
    150,515.40/207,720.57 = 83,447.40/x
  3. Step 3: Cross multiply
    150,515.40x = 207,720.57 × 83,447.40
  4. Step 4: Simplify right side
    150,515.40x = 17,333,741,493.02
  5. Step 5: Solve for x
    x = 17,333,741,493.02/150,515.40
  6. Step 6: Final answer
    x = 115,162.58

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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.