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Finding the Fourth Proportional to 257,810.85, 386,623.63 and 89,285.79

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Solution

The fourth proportional to 257,810.85, 386,623.63 and 89,285.79 is: 133,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,810.85 : 386,623.63 = 89,285.79 : x
  2. Step 2: Convert to fraction form
    257,810.85/386,623.63 = 89,285.79/x
  3. Step 3: Cross multiply
    257,810.85x = 386,623.63 × 89,285.79
  4. Step 4: Simplify right side
    257,810.85x = 34,519,997,798.66
  5. Step 5: Solve for x
    x = 34,519,997,798.66/257,810.85
  6. Step 6: Final answer
    x = 133,896.61

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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.