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Finding the Fourth Proportional to 150,513.90, 207,718.50 and 83,445.90

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Solution

The fourth proportional to 150,513.90, 207,718.50 and 83,445.90 is: 115,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513.90 : 207,718.50 = 83,445.90 : x
  2. Step 2: Convert to fraction form
    150,513.90/207,718.50 = 83,445.90/x
  3. Step 3: Cross multiply
    150,513.90x = 207,718.50 × 83,445.90
  4. Step 4: Simplify right side
    150,513.90x = 17,333,257,179.15
  5. Step 5: Solve for x
    x = 17,333,257,179.15/150,513.90
  6. Step 6: Final answer
    x = 115,160.51

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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.