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Finding the Fourth Proportional to 195,390, 293,097.42 and 55,159.56

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Solution

The fourth proportional to 195,390, 293,097.42 and 55,159.56 is: 82,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,390 : 293,097.42 = 55,159.56 : x
  2. Step 2: Convert to fraction form
    195,390/293,097.42 = 55,159.56/x
  3. Step 3: Cross multiply
    195,390x = 293,097.42 × 55,159.56
  4. Step 4: Simplify right side
    195,390x = 16,167,124,724.34
  5. Step 5: Solve for x
    x = 16,167,124,724.34/195,390
  6. Step 6: Final answer
    x = 82,742.85

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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.