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Finding the Fourth Proportional to 206,490.66, 284,655.48 and 145,954.50

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Solution

The fourth proportional to 206,490.66, 284,655.48 and 145,954.50 is: 201,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.66 : 284,655.48 = 145,954.50 : x
  2. Step 2: Convert to fraction form
    206,490.66/284,655.48 = 145,954.50/x
  3. Step 3: Cross multiply
    206,490.66x = 284,655.48 × 145,954.50
  4. Step 4: Simplify right side
    206,490.66x = 41,546,748,255.66
  5. Step 5: Solve for x
    x = 41,546,748,255.66/206,490.66
  6. Step 6: Final answer
    x = 201,204.01

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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.