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Finding the Fourth Proportional to 86,470.75, 119,331.46 and 48,745

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Solution

The fourth proportional to 86,470.75, 119,331.46 and 48,745 is: 67,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470.75 : 119,331.46 = 48,745 : x
  2. Step 2: Convert to fraction form
    86,470.75/119,331.46 = 48,745/x
  3. Step 3: Cross multiply
    86,470.75x = 119,331.46 × 48,745
  4. Step 4: Simplify right side
    86,470.75x = 5,816,812,017.70
  5. Step 5: Solve for x
    x = 5,816,812,017.70/86,470.75
  6. Step 6: Final answer
    x = 67,269.13

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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.