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Finding the Fourth Proportional to 150,495.78, 207,684.76 and 82,513.78

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Solution

The fourth proportional to 150,495.78, 207,684.76 and 82,513.78 is: 113,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495.78 : 207,684.76 = 82,513.78 : x
  2. Step 2: Convert to fraction form
    150,495.78/207,684.76 = 82,513.78/x
  3. Step 3: Cross multiply
    150,495.78x = 207,684.76 × 82,513.78
  4. Step 4: Simplify right side
    150,495.78x = 17,136,854,595.99
  5. Step 5: Solve for x
    x = 17,136,854,595.99/150,495.78
  6. Step 6: Final answer
    x = 113,869.34

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1.5x scale

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.