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Finding the Fourth Proportional to 206,150.60, 284,483.70 and 115,505.48

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Solution

The fourth proportional to 206,150.60, 284,483.70 and 115,505.48 is: 159,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.60 : 284,483.70 = 115,505.48 : x
  2. Step 2: Convert to fraction form
    206,150.60/284,483.70 = 115,505.48/x
  3. Step 3: Cross multiply
    206,150.60x = 284,483.70 × 115,505.48
  4. Step 4: Simplify right side
    206,150.60x = 32,859,426,320.68
  5. Step 5: Solve for x
    x = 32,859,426,320.68/206,150.60
  6. Step 6: Final answer
    x = 159,395.25

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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.