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Finding the Fourth Proportional to 86,458.59, 119,310.45 and 48,219.30

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Solution

The fourth proportional to 86,458.59, 119,310.45 and 48,219.30 is: 66,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458.59 : 119,310.45 = 48,219.30 : x
  2. Step 2: Convert to fraction form
    86,458.59/119,310.45 = 48,219.30/x
  3. Step 3: Cross multiply
    86,458.59x = 119,310.45 × 48,219.30
  4. Step 4: Simplify right side
    86,458.59x = 5,753,066,381.69
  5. Step 5: Solve for x
    x = 5,753,066,381.69/86,458.59
  6. Step 6: Final answer
    x = 66,541.29

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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.