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Finding the Fourth Proportional to 252,103, 347,897.82 and 137,382.70

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Solution

The fourth proportional to 252,103, 347,897.82 and 137,382.70 is: 189,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103 : 347,897.82 = 137,382.70 : x
  2. Step 2: Convert to fraction form
    252,103/347,897.82 = 137,382.70/x
  3. Step 3: Cross multiply
    252,103x = 347,897.82 × 137,382.70
  4. Step 4: Simplify right side
    252,103x = 47,795,141,835.71
  5. Step 5: Solve for x
    x = 47,795,141,835.71/252,103
  6. Step 6: Final answer
    x = 189,585.77

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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.