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Finding the Fourth Proportional to 257,765.30, 386,798.47 and 107,992.78

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Solution

The fourth proportional to 257,765.30, 386,798.47 and 107,992.78 is: 162,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,765.30 : 386,798.47 = 107,992.78 : x
  2. Step 2: Convert to fraction form
    257,765.30/386,798.47 = 107,992.78/x
  3. Step 3: Cross multiply
    257,765.30x = 386,798.47 × 107,992.78
  4. Step 4: Simplify right side
    257,765.30x = 41,771,442,075.05
  5. Step 5: Solve for x
    x = 41,771,442,075.05/257,765.30
  6. Step 6: Final answer
    x = 162,052.23

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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.