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Finding the Fourth Proportional to 149,564.40, 206,403.48 and 85,914.96

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Solution

The fourth proportional to 149,564.40, 206,403.48 and 85,914.96 is: 118,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.40 : 206,403.48 = 85,914.96 : x
  2. Step 2: Convert to fraction form
    149,564.40/206,403.48 = 85,914.96/x
  3. Step 3: Cross multiply
    149,564.40x = 206,403.48 × 85,914.96
  4. Step 4: Simplify right side
    149,564.40x = 17,733,146,728.06
  5. Step 5: Solve for x
    x = 17,733,146,728.06/149,564.40
  6. Step 6: Final answer
    x = 118,565.29

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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.