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Finding the Fourth Proportional to 253,725.06, 350,140.87 and 137,438.77

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Solution

The fourth proportional to 253,725.06, 350,140.87 and 137,438.77 is: 189,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,725.06 : 350,140.87 = 137,438.77 : x
  2. Step 2: Convert to fraction form
    253,725.06/350,140.87 = 137,438.77/x
  3. Step 3: Cross multiply
    253,725.06x = 350,140.87 × 137,438.77
  4. Step 4: Simplify right side
    253,725.06x = 48,122,928,748.83
  5. Step 5: Solve for x
    x = 48,122,928,748.83/253,725.06
  6. Step 6: Final answer
    x = 189,665.65

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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.