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Finding the Fourth Proportional to 202,653.38, 279,516.62 and 142,237.50

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Solution

The fourth proportional to 202,653.38, 279,516.62 and 142,237.50 is: 196,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,653.38 : 279,516.62 = 142,237.50 : x
  2. Step 2: Convert to fraction form
    202,653.38/279,516.62 = 142,237.50/x
  3. Step 3: Cross multiply
    202,653.38x = 279,516.62 × 142,237.50
  4. Step 4: Simplify right side
    202,653.38x = 39,757,744,526.06
  5. Step 5: Solve for x
    x = 39,757,744,526.06/202,653.38
  6. Step 6: Final answer
    x = 196,185.95

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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.