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Finding the Fourth Proportional to 257,796.96, 386,666.76 and 80,289.12

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Solution

The fourth proportional to 257,796.96, 386,666.76 and 80,289.12 is: 120,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.96 : 386,666.76 = 80,289.12 : x
  2. Step 2: Convert to fraction form
    257,796.96/386,666.76 = 80,289.12/x
  3. Step 3: Cross multiply
    257,796.96x = 386,666.76 × 80,289.12
  4. Step 4: Simplify right side
    257,796.96x = 31,045,133,893.65
  5. Step 5: Solve for x
    x = 31,045,133,893.65/257,796.96
  6. Step 6: Final answer
    x = 120,424.75

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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.