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Finding the Fourth Proportional to 45,538.74, 68,338.98 and 15,957

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Solution

The fourth proportional to 45,538.74, 68,338.98 and 15,957 is: 23,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,538.74 : 68,338.98 = 15,957 : x
  2. Step 2: Convert to fraction form
    45,538.74/68,338.98 = 15,957/x
  3. Step 3: Cross multiply
    45,538.74x = 68,338.98 × 15,957
  4. Step 4: Simplify right side
    45,538.74x = 1,090,485,103.86
  5. Step 5: Solve for x
    x = 1,090,485,103.86/45,538.74
  6. Step 6: Final answer
    x = 23,946.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.