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Finding the Fourth Proportional to 242,701.60, 364,052.40 and 137,725.60

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Solution

The fourth proportional to 242,701.60, 364,052.40 and 137,725.60 is: 206,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,701.60 : 364,052.40 = 137,725.60 : x
  2. Step 2: Convert to fraction form
    242,701.60/364,052.40 = 137,725.60/x
  3. Step 3: Cross multiply
    242,701.60x = 364,052.40 × 137,725.60
  4. Step 4: Simplify right side
    242,701.60x = 50,139,335,221.44
  5. Step 5: Solve for x
    x = 50,139,335,221.44/242,701.60
  6. Step 6: Final answer
    x = 206,588.40

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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.