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Finding the Fourth Proportional to 87,769, 121,124.26 and 48,025

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Solution

The fourth proportional to 87,769, 121,124.26 and 48,025 is: 66,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,769 : 121,124.26 = 48,025 : x
  2. Step 2: Convert to fraction form
    87,769/121,124.26 = 48,025/x
  3. Step 3: Cross multiply
    87,769x = 121,124.26 × 48,025
  4. Step 4: Simplify right side
    87,769x = 5,816,992,586.50
  5. Step 5: Solve for x
    x = 5,816,992,586.50/87,769
  6. Step 6: Final answer
    x = 66,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.