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Finding the Fourth Proportional to 252,128.49, 347,928.49 and 137,404.81

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Solution

The fourth proportional to 252,128.49, 347,928.49 and 137,404.81 is: 189,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,128.49 : 347,928.49 = 137,404.81 : x
  2. Step 2: Convert to fraction form
    252,128.49/347,928.49 = 137,404.81/x
  3. Step 3: Cross multiply
    252,128.49x = 347,928.49 × 137,404.81
  4. Step 4: Simplify right side
    252,128.49x = 47,807,046,848.70
  5. Step 5: Solve for x
    x = 47,807,046,848.70/252,128.49
  6. Step 6: Final answer
    x = 189,613.82

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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.