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Finding the Fourth Proportional to 81,343, 112,247.16 and 49,508.38

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Solution

The fourth proportional to 81,343, 112,247.16 and 49,508.38 is: 68,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,343 : 112,247.16 = 49,508.38 : x
  2. Step 2: Convert to fraction form
    81,343/112,247.16 = 49,508.38/x
  3. Step 3: Cross multiply
    81,343x = 112,247.16 × 49,508.38
  4. Step 4: Simplify right side
    81,343x = 5,557,175,051.20
  5. Step 5: Solve for x
    x = 5,557,175,051.20/81,343
  6. Step 6: Final answer
    x = 68,317.80

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1.5x scale

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.