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Finding the Fourth Proportional to 230,387.96, 317,936.84 and 128,419.86

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Solution

The fourth proportional to 230,387.96, 317,936.84 and 128,419.86 is: 177,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,387.96 : 317,936.84 = 128,419.86 : x
  2. Step 2: Convert to fraction form
    230,387.96/317,936.84 = 128,419.86/x
  3. Step 3: Cross multiply
    230,387.96x = 317,936.84 × 128,419.86
  4. Step 4: Simplify right side
    230,387.96x = 40,829,405,031.81
  5. Step 5: Solve for x
    x = 40,829,405,031.81/230,387.96
  6. Step 6: Final answer
    x = 177,220.22

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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.