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Finding the Fourth Proportional to 195,431.80, 293,147.70 and 155,342.20

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Solution

The fourth proportional to 195,431.80, 293,147.70 and 155,342.20 is: 233,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,431.80 : 293,147.70 = 155,342.20 : x
  2. Step 2: Convert to fraction form
    195,431.80/293,147.70 = 155,342.20/x
  3. Step 3: Cross multiply
    195,431.80x = 293,147.70 × 155,342.20
  4. Step 4: Simplify right side
    195,431.80x = 45,538,208,642.94
  5. Step 5: Solve for x
    x = 45,538,208,642.94/195,431.80
  6. Step 6: Final answer
    x = 233,013.30

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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.