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Finding the Fourth Proportional to 206,099.66, 284,412.57 and 115,459.45

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Solution

The fourth proportional to 206,099.66, 284,412.57 and 115,459.45 is: 159,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.66 : 284,412.57 = 115,459.45 : x
  2. Step 2: Convert to fraction form
    206,099.66/284,412.57 = 115,459.45/x
  3. Step 3: Cross multiply
    206,099.66x = 284,412.57 × 115,459.45
  4. Step 4: Simplify right side
    206,099.66x = 32,838,118,194.26
  5. Step 5: Solve for x
    x = 32,838,118,194.26/206,099.66
  6. Step 6: Final answer
    x = 159,331.26

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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.