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Finding the Fourth Proportional to 228,120.64, 314,808.52 and 126,153

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Solution

The fourth proportional to 228,120.64, 314,808.52 and 126,153 is: 174,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,120.64 : 314,808.52 = 126,153 : x
  2. Step 2: Convert to fraction form
    228,120.64/314,808.52 = 126,153/x
  3. Step 3: Cross multiply
    228,120.64x = 314,808.52 × 126,153
  4. Step 4: Simplify right side
    228,120.64x = 39,714,039,223.56
  5. Step 5: Solve for x
    x = 39,714,039,223.56/228,120.64
  6. Step 6: Final answer
    x = 174,092.27

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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.