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Finding the Fourth Proportional to 208,224.81, 312,361.38 and 101,532.96

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Solution

The fourth proportional to 208,224.81, 312,361.38 and 101,532.96 is: 152,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.81 : 312,361.38 = 101,532.96 : x
  2. Step 2: Convert to fraction form
    208,224.81/312,361.38 = 101,532.96/x
  3. Step 3: Cross multiply
    208,224.81x = 312,361.38 × 101,532.96
  4. Step 4: Simplify right side
    208,224.81x = 31,714,975,501.08
  5. Step 5: Solve for x
    x = 31,714,975,501.08/208,224.81
  6. Step 6: Final answer
    x = 152,311.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.