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Finding the Fourth Proportional to 68,138.53, 94,023.31 and 39,458.74

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Solution

The fourth proportional to 68,138.53, 94,023.31 and 39,458.74 is: 54,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.53 : 94,023.31 = 39,458.74 : x
  2. Step 2: Convert to fraction form
    68,138.53/94,023.31 = 39,458.74/x
  3. Step 3: Cross multiply
    68,138.53x = 94,023.31 × 39,458.74
  4. Step 4: Simplify right side
    68,138.53x = 3,710,041,343.23
  5. Step 5: Solve for x
    x = 3,710,041,343.23/68,138.53
  6. Step 6: Final answer
    x = 54,448.51

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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.