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Finding the Fourth Proportional to 137,428.64, 205,962.72 and 99,604.96

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Solution

The fourth proportional to 137,428.64, 205,962.72 and 99,604.96 is: 149,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428.64 : 205,962.72 = 99,604.96 : x
  2. Step 2: Convert to fraction form
    137,428.64/205,962.72 = 99,604.96/x
  3. Step 3: Cross multiply
    137,428.64x = 205,962.72 × 99,604.96
  4. Step 4: Simplify right side
    137,428.64x = 20,514,908,487.09
  5. Step 5: Solve for x
    x = 20,514,908,487.09/137,428.64
  6. Step 6: Final answer
    x = 149,276.81

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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.